# Right triangle calculator

The right triangle calculators compute angles, sides (adjacent, opposite, hypotenuse) and area of any right-angled triangle and use it in the real world. Two independent properties entirely determine any right-angled triangle. The calculator provides a step-by-step explanation for each calculation.A right triangle is a kind of triangle that has one angle that measures C=90°. In a Right triangle, the side c that is opposite of the C=90° angle, is the longest side of the triangle and is called the hypotenuse. The variables a, b are the lengths of the shorter sides, also called legs or arms. Variables for angles are A, B, or α (alpha) and β (beta). Variable h refers to the altitude(height) of the triangle, which is the length from the vertex C to the hypotenuse of the triangle.

Examples for right triangle calculation:

- two cathetuses a and b
- cathetus a and hypotenuse c
- cathetus a and opposite angle A
- cathetus a and adjacent angle B
- hypotenuse c and angle A
- hypotenuse c and height h
- area T and hypotenuse c
- area T and cathetus a
- area T and angle A
- circumradius R and cathetus b
- perimeter p and hypotenuse c
- perimeter p and cathetus a
- inradius r and cathetus a
- inradius r and area T
- Medians m
_{a}and m_{b}

## A right triangle in word problems in mathematics:

- Triangle P2

Can a triangle have two right angles? - Height of right RT

The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle? - Vector 7

Given vector OA(12,16) and vector OB(4,1). Find vector AB and vector |A|. - Area of RT 2

Calculate the area of right triangle whose legs have a length 5.8 cm and 5.8 cm. - Darnell

Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing? - Euclid2

In right triangle ABC with right angle at C is given side a=29 and height v=17. Calculate the perimeter of the triangle. - Broken tree

The tree is broken at 4 meters above the ground and the top of the tree touches the ground at a distance of 5 from the trunk. Calculate the original height of the tree. - Spruce height

How tall was spruce that was cut at an altitude of 8m above the ground and the top landed at a distance of 15m from the heel of the tree? - Right triangle

Right triangle legs has lengths 630 mm and 411 dm. Calculate the area of this triangle. - Cable car

Cable car rises at an angle 45° and connects the upper and lower station with an altitude difference of 744 m. How long is "endless" tow rope? - Altitude angle

In complete winds-free weather, the balloon took off and remained standing exactly above the place from which it took off. It is 250 meters away from us. How high did the balloon fly when we see it at an altitude angle of 25°? - Chauncey

Chauncey is building a storage bench for his son’s playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chanuncy wants to buy a triangular shaped cover for the bench. If the storage bench is 2 1/2 ft. Along one wa - Cableway

Cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than the base station. - Trapezoid - RR

Find the area of the right angled trapezoid ABCD with the right angle at the A vertex; a = 3 dm b = 5 dm c = 6 dm d = 4 dm - Height

Is it true that the height is less or equal to half of the hypotenuse in any right triangle?

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#### Look also our friend's collection of math problems and questions:

- triangle
- area of shape
- right triangle
- Heron's formula
- The Law of Sines
- The Law of Cosines
- Pythagorean theorem
- triangle inequality
- similarity of triangles
- The right triangle altitude theorem