# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 114.88   b = 121.4787579374   c = 39.4899085713

Area: T = 2268.253308336
Perimeter: p = 275.8476665087
Semiperimeter: s = 137.9233332543

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 = 39.4899085713
Height: hb = 37.34443905461
Height: hc = 114.88

Median: ma = 69.7054673376
Median: mb = 60.73987896868
Median: mc = 116.5644408687

Inradius: r = 16.44657531698
Circumradius: R = 60.73987896868

Vertex coordinates: A[39.4899085713; 0] B[0; 0] C[0; 114.88]
Centroid: CG[13.1633028571; 38.29333333333]
Coordinates of the circumscribed circle: U[19.74545428565; 57.44]
Coordinates of the inscribed circle: I[16.44657531698; 16.44657531698]

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    