# Triangle calculator ASA

Please enter the side of the triangle and two adjacent angles
°
°

### Right scalene triangle.

Sides: a = 34.64110161514   b = 69.28220323028   c = 60

Area: T = 1039.233048454
Perimeter: p = 163.9233048454
Semiperimeter: s = 81.96215242271

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

Height: ha = 60
Height: hb = 30
Height: hc = 34.64110161514

Median: ma = 62.4549979984
Median: mb = 34.64110161514
Median: mc = 45.82657569496

Inradius: r = 12.67994919243
Circumradius: R = 34.64110161514

Vertex coordinates: A[60; 0] B[0; 0] C[-0; 34.64110161514]
Centroid: CG[20; 11.54770053838]
Coordinates of the circumscribed circle: U[30; 17.32105080757]
Coordinates of the inscribed circle: I[12.67994919243; 12.67994919243]

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

# How did we calculate this triangle?

### 1. Calculate the third unknown inner angle ### 2. By using the law of sines, we calculate unknown side a ### 3. By using the law of sines, we calculate last unknown side b 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 using Heron's formula ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle using a Law of Cosines    