# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 47   b = 16.07549467363   c = 44.16655531769

Area: T = 354.9799457449
Perimeter: p = 107.2440499913
Semiperimeter: s = 53.62202499566

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 70° = 1.22217304764 rad

Height: ha = 15.10655088276
Height: hb = 44.16655531769
Height: hc = 16.07549467363

Median: ma = 23.5
Median: mb = 44.89109463653
Median: mc = 27.31439695839

Vertex coordinates: A[44.16655531769; 0] B[0; 0] C[44.16655531769; 16.07549467363]
Centroid: CG[29.4443702118; 5.35883155788]
Coordinates of the circumscribed circle: U[22.08327765885; 8.03774733682]
Coordinates of the inscribed circle: I[37.54553032203; 6.62202499566]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 110° = 1.22217304764 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    