# Triangle calculator ASA

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

### Right scalene triangle.

Sides: a = 3185   b = 5516.582182211   c = 6370

Area: T = 8785156.552171
Perimeter: p = 15071.58218221
Semiperimeter: s = 7535.791091105

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

Height: ha = 5516.582182211
Height: hb = 3185
Height: hc = 2758.291091105

Median: ma = 5741.844040618
Median: mb = 4213.359896287
Median: mc = 3185

Inradius: r = 1165.791091105
Circumradius: R = 3185

Vertex coordinates: A[6370; 0] B[0; 0] C[1592.5; 2758.291091105]
Centroid: CG[2654.167666667; 919.4330303685]
Coordinates of the circumscribed circle: U[3185; -0]
Coordinates of the inscribed circle: I[2019.209908895; 1165.791091105]

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