# Right triangle calculator (a,b)

Please enter two properties of the right triangle

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

You have entered cathetus a and cathetus b.

### Right scalene triangle.

Sides: a = 175   b = 288   c = 337

Area: T = 25200
Perimeter: p = 800
Semiperimeter: s = 400

Angle ∠ A = α = 31.28444929144° = 31°17'4″ = 0.54660174062 rad
Angle ∠ B = β = 58.71655070856° = 58°42'56″ = 1.02547789206 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 288
Height: hb = 175
Height: hc = 149.5554896142

Median: ma = 300.999875415
Median: mb = 226.6329653841
Median: mc = 168.5

Inradius: r = 63
Circumradius: R = 168.5

Vertex coordinates: A[337; 0] B[0; 0] C[90.87553709199; 149.5554896142]
Centroid: CG[142.625512364; 49.85216320475]
Coordinates of the circumscribed circle: U[168.5; -0]
Coordinates of the inscribed circle: I[112; 63]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.7165507086° = 148°42'56″ = 0.54660174062 rad
∠ B' = β' = 121.2844492914° = 121°17'4″ = 1.02547789206 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and cathetus b ### 2. From cathetus a and cathetus b we calculate hypotenuse c - 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 ### 8. Inradius ### 9. Circumradius ### 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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