# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 70   b = 71.56438416406   c = 14.87989593169

Area: T = 520.7643576092
Perimeter: p = 156.4432800957
Semiperimeter: s = 78.22114004787

Angle ∠ A = α = 78° = 1.36113568166 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 12° = 0.20994395102 rad

Height: ha = 14.87989593169
Height: hb = 14.55438183572
Height: hc = 70

Median: ma = 38.03113479955
Median: mb = 35.78219208203
Median: mc = 70.39442175011

Vertex coordinates: A[14.87989593169; 0] B[0; 0] C[0; 70]
Centroid: CG[4.96596531056; 23.33333333333]
Coordinates of the circumscribed circle: U[7.43994796585; 35]
Coordinates of the inscribed circle: I[6.65875588382; 6.65875588382]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 102° = 1.36113568166 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 168° = 0.20994395102 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 b ### 3. By using the law of sines, we calculate last unknown side c 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    