# Right triangle calculator trig

Please provide 2 values below to calculate the other values of a right triangle. Right triangles, and the relationships between their sides and angles, are the basis of trigonometry.

The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides. The altitude divides the original triangle into two smaller, similar triangles that are also similar to the original triangle.

If all three sides of a right triangle have lengths that are integers, it is known as a Pythagorean triangle. In a triangle of this type, the lengths of the three sides are collectively known as a Pythagorean triple. Examples include: 3, 4, 5; 5, 12, 13; 8, 15, 17, etc. Area and perimeter of a right triangle are calculated in the same way as any other triangle. The perimeter is the sum of the three sides of the triangle and the area can be determined using the following equation:.

Thus, in this type of triangle, if the length of one side and the side's corresponding angle is known, the length of the other sides can be determined using the above ratio.

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Financial Fitness and Health Math Other.We can find an unknown side in a right-angled triangle when we know:. The answer is to use Sine, Cosine or Tangent! Use your calculator. Type in 39 and then use the "sin" key. That's easy! The depth the anchor ring lies beneath the hole is Hide Ads About Ads. Finding a Side in a Right-Angled Triangle Find a Side when we know another Side and Angle We can find an unknown side in a right-angled triangle when we know: one length, and one angle apart from the right angle, that is.

Example: Depth to the Seabed The ship is anchored on the seabed. We know: the cable length 30 mand the angle the cable makes with the seabed So we should be able to find the depth! But How? Start with: 0.

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Example: find the height of the plane. Step 1 The two sides we are using are A djacent h and H ypotenuse Example: Find the length of the side y : Step 1 The two sides we are using are O pposite y and A djacent 7.

Example: Radio Mast There is a mast that is 70 meters high. How long is the wire? Step 1 The two sides we are using are O pposite 70 and H ypotenuse w.Trigonometry is most simply associated with planar right-angle triangles each of which is a two-dimensional triangle with one angle equal to 90 degrees.

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The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle on a flat plane can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles. One exception to this is spherical trigonometrythe study of triangles on spheressurfaces of constant positive curvaturein elliptic geometry a fundamental part of astronomy and navigation.

Trigonometry on surfaces of negative curvature is part of hyperbolic geometry. Trigonometry basics are often taught in schools, either as a separate course or as a part of a precalculus course.

Triangle Trigonometry Solutions Calculators Menu. Membership Register Login. Copyright Notice. Trigonometry Triangle Calculators. Engineering Basic Menu Engineering Analysis Menu The following are to links of Trigonometry Triangle Calculators engineering resources, tools, articles and other useful data. Should you find any errors omissions broken links, please let us know - Feedback Do you want to contribute to this section?

See Premium Publisher Program Trigonometry is most simply associated with planar right-angle triangles each of which is a two-dimensional triangle with one angle equal to 90 degrees.TrigCalc Step by step right triangle calculator. It is a very comprehensive, step by step, trigonometry calculator created for but not limited to trigonometry students seeking extra help or understanding of the subject. At the moment we are launched different calculators for math solve.

Everything in trigonometry seems to revolve around the 90 degree triangle and its ratios. A 90 degree triangle is defined as a triangle with a right angle or in other words a ninety degree angle. Given any known side length of a 90 degree triangle and one other value another side, angle, area value, etcone can find all unknown values of the same 90 degree triangle.

Right triangle calculator exemplifies this truth by taking in two values one side and any other value and returning all missing values in exact value and decimal form while displaying the formulas and calculation process for each of the missing values.

Try it out! An oblique triangle is defined as a triangle without a right angle or ninty degree angle. Given three known values of an oblique triangle with one of those values being a side length, all other unknown values of the same triangle can be calculated. Oblique triangles use a set of formulas unique from right triangles and these formulas can be displayed on the oblique triangle calculator page of our website. Oblique triangle calculator takes in one side length and any two other values and returns the missing values in exact value and decimal form in addition to the step-by-step calculation process for each of those missing values.

## Trigonometry Calculator

A circle is defined as a round figure whose boundary consists of points each equidistant from the center point. Circles consist of four segments, the radius, diameter, circumference, and area.

If just one of these values is known, all of the other values can be calculated. In circle calculator, you can do just that. This takes in any one known value of the circle and returns all missing values in exact value and decimal form as well as the step-by-step calculation process for each one of those values. A sector is defined as the area between two radiuses and the connecting arc of a circle.

The five major parts of a sector are the angle, radius, chord, arc, and area. Given either an angle measure or radius length and anyone other value two in totalall other values of the sector can be calculated. In sector calculator, you can enter two values at least one being an angle or radius and receive all unknown values in exact value and decimal form and the step-by-step process for each missing value.

For a list of trigonometric identities, the identity reference page displays all of them. If seeking to calculate identities, TrigCalc includes identity calculators for 6 of the trigonometric identities including sum difference, double angle, half angle, power reduction, sum to a product, and product to sum.

In each of the identity calculators, given any function value and quadrant of theta, the exact value and calculation process will be displayed. Decimal approximations for each of the trigonometric identities can be calculated as well. Coterminal angles are angles sharing the same terminal and initial sides. Calculating coterminal angles involves adding or subtracting multiples of degrees.

Coterminal angle calculator allows you to find either the least positive or negative values coterminal with a given angle in degree or radian form. This calculator also returns exacts values, decimal approximations, and the step-by-step calculation process of the angle. Supplementary angles are angles whose sum equals degrees. In the supplementary angle calculator, the supplement of any degree or radian value will be calculated and displayed alongside the calculation process and decimal approximation.

Complementary angles are angles whose sum equals ninty degrees. In a complementary angle calculator, the supplement of any degree or radian value will be calculated and displayed alongside the calculation process and decimal approximation. Our all calculators are very necessary math solver as well as right triangle calculator.This trigonometry calculator will help you in two popular cases when trigonometry is needed.

If you want to find the values of sine, cosine, tangent and their reciprocal functions, use the first part of the calculator. Searching for the missing side or angle in a right triangleusing trigonometry? Our tool is also a safe bet! Type given values in the second part of the calculator and in a blink of an eye you'll find the answer.

Scroll down if you want to read more about what is trigonometry and where you can apply it. There are many other tools useful when dealing with trigonometry problems. Check out two popular trigonometric laws: law of sines and law of cosines calculators, helping to solve any kind of a triangle.

If you want to read more about the trigonometric functions, go to our dedicated tools:. Trigonometry is a branch of mathematics. As the name suggests, trigonometry deals mostly with angles and triangles ; in particular, it's defining and using the relationships and ratios between angles and sides in triangles.

The primary application is thus solving triangles, specifically right triangles, but also any other type of triangle you like. Trigonometry has plenty of applications: from everyday life problems such as calculating the height or distance between objects to the satellite navigation system, astronomy, and geography. Also, sine and cosine functions are fundamental for describing periodic phenomena - thanks to them, we can describe oscillatory movements as simple pendulum and waves like sound, vibration or light.

Many different fields of science and engineering use trigonometry and trigonometric functions, to mention only a few of them: music, acoustics, electronics, medicine and medical imaging, biology, chemistry, meteorology, electrical, mechanical and civil engineering, even economics The trigonometric functions are really all around us! To find the trigonometric functions of an angle, enter the chosen angle in degrees or radians. Underneath the calculator, six most popular trig functions will appear - three basic ones: sine, cosine and tangent, and their reciprocals: cosecant, secant and cotangent.

Additionally, if the angle is acute, the right triangle will be displayed, which can help you in understanding how the functions may be interpreted.

### Trigonometry Calculator

To find the missing sides or angles of the right triangle, all you need to do is enter the known variables into the trigonometry calculator. You need only two given values in the case of:. Remember that if you know two angles, it's not enough to find the sides of the triangle. Two triangles having the same shape which means they have equal angles may be of different sizes not the same side length - that kind of relationship is called triangle similarity.

If the sides have the same length, then the triangles are congruent. Trigonometry Calculator can be embedded on your website to enrich the content you wrote and make it easier for your visitors to understand your message. Get the HTML code. Omni Calculator logo Embed Share via.Enter any valid input 3 side lengths, 2 sides and an angle or 2 angle and a 1 side and our calculator will do the rest. This is the acute triangle in Quadrant I, for more information on this topic, check out the law of sines ambiguous case.

This is the obtuse triangle in Quadrant II, for more information on this topic, check out the law of sines ambiguous case. Status: Calculator waiting for input. The most frequent reason for this is because you are rounding the sides and angles which can, at times, lead to results that seem inaccurate.

In these cases, in actualitythe calculator is really producing correct results. However, it is then rounding them for you- which leads to seemingly inaccurate results and possible error warnings.

Trigonometry: finding angles in right-angled triangles

To see if that is your problem, set the rounding to maximum accuracy. Triangle App Triangle Animated Gifs. Test Case. Round to. Auto Calculate. Triangle 1 This is the acute triangle in Quadrant I, for more information on this topic, check out the law of sines ambiguous case.

Sides Angles Side A. Side B. Side C. Triangle 2 This is the obtuse triangle in Quadrant II, for more information on this topic, check out the law of sines ambiguous case. Popular pages mathwarehouse. Surface area of a Cylinder. Unit Circle Game.

Pascal's Triangle demonstration. Create, save share charts. Interactive simulation the most controversial math riddle ever! Calculus Gifs. How to make an ellipse. Volume of a cone. Best Math Jokes. Our Most Popular Animated Gifs. Math Riddles. Side A.This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy. Learn more Accept. Conic Sections Trigonometry. Conic Sections. Matrices Vectors. Chemical Reactions Chemical Properties. Trigonometry Calculator Calculate trignometric equations, prove identities and evaluate functions step-by-step.

Correct Answer :. Let's Try Again :. Try to further simplify.