# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 123.3   b = 130.3811141511   c = 42.38333937014

Area: T = 2612.936622169
Perimeter: p = 296.0654535212
Semiperimeter: s = 148.0322267606

Angle ∠ A = α = 71.03° = 71°1'48″ = 1.24397073677 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 18.97° = 18°58'12″ = 0.33110889591 rad

Height: ha = 42.38333937014
Height: hb = 40.08215055217
Height: hc = 123.3

Median: ma = 74.81435987749
Median: mb = 65.19105707554
Median: mc = 125.1087865522

Vertex coordinates: A[42.38333937014; 0] B[0; 0] C[-0; 123.3]
Centroid: CG[14.12877979005; 41.1]
Coordinates of the circumscribed circle: U[21.19216968507; 61.65]
Coordinates of the inscribed circle: I[17.65111260953; 17.65111260953]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108.97° = 108°58'12″ = 1.24397073677 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 161.03° = 161°1'48″ = 0.33110889591 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    