# Triangle calculator

You have entered side b, c and angle α.

### Right scalene triangle.

Sides: a = 1180.042237212   b = 700   c = 950

Area: T = 332500
Perimeter: p = 2830.042237212
Semiperimeter: s = 1415.021118606

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 36.38443518158° = 36°23'4″ = 0.63550267354 rad
Angle ∠ C = γ = 53.61656481842° = 53°36'56″ = 0.93657695914 rad

Height: ha = 563.5399086147
Height: hb = 950
Height: hc = 700

Median: ma = 590.021118606
Median: mb = 1012.423283657
Median: mc = 845.9466215784

Vertex coordinates: A[950; 0] B[0; 0] C[950; 700]
Centroid: CG[633.3333333333; 233.3333333333]
Coordinates of the circumscribed circle: U[475; 350]
Coordinates of the inscribed circle: I[715.021118606; 234.979881394]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 143.6165648184° = 143°36'56″ = 0.63550267354 rad
∠ C' = γ' = 126.3844351816° = 126°23'4″ = 0.93657695914 rad

# How did we calculate this triangle?

### 1. Input data entered: side b, c and angle α. ### 2. Calculation of the third side a of the triangle using a Law of Cosines 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 using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines    