# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 50   b = 57.7355026919   c = 28.86875134595

Area: T = 721.6887836487
Perimeter: p = 136.6032540378
Semiperimeter: s = 68.30112701892

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 28.86875134595
Height: hb = 25
Height: hc = 50

Median: ma = 38.18881307913
Median: mb = 28.86875134595
Median: mc = 52.04216499867

Inradius: r = 10.56662432703
Circumradius: R = 28.86875134595

Vertex coordinates: A[28.86875134595; 0] B[0; 0] C[-0; 50]
Centroid: CG[9.62325044865; 16.66766666667]
Coordinates of the circumscribed circle: U[14.43437567297; 25]
Coordinates of the inscribed circle: I[10.56662432703; 10.56662432703]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 150° = 0.52435987756 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    