# Right triangle calculator (b,c,h)

Please enter two properties of the right triangle

Use symbols: a, b, c, A, B, h, T, p, r, R

You have entered cathetus b, hypotenuse c and height h.

### Right scalene triangle.

Sides: a = 0.62443468587   b = 0.72   c = 0.953

Area: T = 0.22547648691
Perimeter: p = 2.29773468587
Semiperimeter: s = 1.14986734294

Angle ∠ A = α = 40.93301421058° = 40°55'49″ = 0.71443657431 rad
Angle ∠ B = β = 49.07698578942° = 49°4'11″ = 0.85664305837 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 0.72
Height: hb = 0.62443468587
Height: hc = 0.47216996204

Median: ma = 0.78547625437
Median: mb = 0.72107003538
Median: mc = 0.47765

Vertex coordinates: A[0.953; 0] B[0; 0] C[0.40990335782; 0.47216996204]
Centroid: CG[0.45440111927; 0.15772332068]
Coordinates of the circumscribed circle: U[0.47765; 0]
Coordinates of the inscribed circle: I[0.42986734294; 0.19656734294]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.0769857894° = 139°4'11″ = 0.71443657431 rad
∠ B' = β' = 130.9330142106° = 130°55'49″ = 0.85664305837 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus b, hypotenuse c and height h ### 2. From cathetus b and hypotenuse c we calculate cathetus a - Pythagorean theorem: Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area - from two legs ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle - basic use of sine function   ### 10. Calculation of medians Trigonometry right triangle solver. You can calculate angles, sides (adjacent, opposite, hypotenuse) and area of any right-angled triangle and use it in real world to find height. A right-angled triangle is entirely determined by two independent properties. Step-by-step explanations are provided for each calculation.

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