# Right triangle calculator (a)

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 perimeter p.

### Right scalene triangle.

Sides: a = 84   b = 85.87437864078   c = 120.1266213592

Area: T = 3606.699902913
Perimeter: p = 290
Semiperimeter: s = 145

Angle ∠ A = α = 44.36880266905° = 44°22'5″ = 0.77443681484 rad
Angle ∠ B = β = 45.63219733095° = 45°37'55″ = 0.79664281784 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 85.87437864078
Height: hb = 84
Height: hc = 60.04884926857

Median: ma = 95.59444935235
Median: mb = 94.33875683278
Median: mc = 60.06331067961

Vertex coordinates: A[120.1266213592; 0] B[0; 0] C[58.73882203184; 60.04884926857]
Centroid: CG[59.62114779702; 20.01661642286]
Coordinates of the circumscribed circle: U[60.06331067961; 0]
Coordinates of the inscribed circle: I[59.12662135922; 24.87437864078]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.6321973309° = 135°37'55″ = 0.77443681484 rad
∠ B' = β' = 134.3688026691° = 134°22'5″ = 0.79664281784 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and perimeter p ### 2. From cathetus a and perimeter p we calculate cathetus b: ### 3. From cathetus a 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area - from two legs ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle - basic use of sine function   ### 11. 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.

Calculate right triangle by: