# 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 = 91   b = 60   c = 109

Area: T = 2730
Perimeter: p = 260
Semiperimeter: s = 130

Angle ∠ A = α = 56.6021511532° = 56°36'5″ = 0.98878827378 rad
Angle ∠ B = β = 33.3988488468° = 33°23'55″ = 0.5832913589 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 60
Height: hb = 91
Height: hc = 50.09217431193

Median: ma = 75.30110624095
Median: mb = 95.81875349297
Median: mc = 54.5

Inradius: r = 21
Circumradius: R = 54.5

Vertex coordinates: A[109; 0] B[0; 0] C[75.97224770642; 50.09217431193]
Centroid: CG[61.65774923547; 16.69772477064]
Coordinates of the circumscribed circle: U[54.5; 0]
Coordinates of the inscribed circle: I[70; 21]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.3988488468° = 123°23'55″ = 0.98878827378 rad
∠ B' = β' = 146.6021511532° = 146°36'5″ = 0.5832913589 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   ### 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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