# Triangle calculator

You have entered side c, angle α and angle β.

### Right scalene triangle.

Sides: a = 4965.212231503   b = 2482.606615752   c = 4300

Area: T = 5337603.239866
Perimeter: p = 11747.81884725
Semiperimeter: s = 5873.909923627

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 2150
Height: hb = 4300
Height: hc = 2482.606615752

Median: ma = 2482.606615752
Median: mb = 4475.582189885
Median: mc = 3284.179924805

Vertex coordinates: A[4300; 0] B[0; 0] C[4300; 2482.606615752]
Centroid: CG[2866.667666667; 827.5355385839]
Coordinates of the circumscribed circle: U[2150; 1241.303307876]
Coordinates of the inscribed circle: I[3391.303307876; 908.6976921242]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 120° = 1.04771975512 rad

# How did we calculate this triangle?

### 1. Input data entered: side c, angle α and angle β. ### 2. From angle α and angle β we calculate angle γ: ### 3. From angle α, angle γ and side c we calculate side a - By using the law of sines, we calculate unknown side a: ### 4. Calculation of the third side b 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. ### 5. The triangle circumference is the sum of the lengths of its three sides ### 6. Semiperimeter of the triangle ### 7. The triangle area using Heron's formula ### 8. Calculate the heights of the triangle from its area. ### 9. Calculation of the inner angles of the triangle using a Law of Cosines    