# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 50   b = 359.2654826716   c = 355.7688486119

Area: T = 8894.212215298
Perimeter: p = 765.0333312836
Semiperimeter: s = 382.5176656418

Angle ∠ A = α = 8° = 0.14396263402 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 82° = 1.43111699866 rad

Height: ha = 355.7688486119
Height: hb = 49.51334034371
Height: hc = 50

Median: ma = 356.646578466
Median: mb = 179.6322413358
Median: mc = 184.7787714914

Inradius: r = 23.25218297014
Circumradius: R = 179.6322413358

Vertex coordinates: A[355.7688486119; 0] B[0; 0] C[0; 50]
Centroid: CG[118.5899495373; 16.66766666667]
Coordinates of the circumscribed circle: U[177.884424306; 25]
Coordinates of the inscribed circle: I[23.25218297014; 23.25218297014]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172° = 0.14396263402 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 98° = 1.43111699866 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    