# Triangle calculator AAS

Please enter two angles and one opposite side
°
°

### Right scalene triangle.

Sides: a = 34   b = 74.89114349959   c = 66.72987571872

Area: T = 1134.389887218
Perimeter: p = 175.6220192183
Semiperimeter: s = 87.81100960915

Angle ∠ A = α = 27° = 0.4711238898 rad
Angle ∠ B = β = 90° = 1.57107963268 rad
Angle ∠ C = γ = 63° = 1.10995574288 rad

Height: ha = 66.72987571872
Height: hb = 30.29442218224
Height: hc = 34

Median: ma = 68.86601992137
Median: mb = 37.44657174979
Median: mc = 47.6365929286

Vertex coordinates: A[66.72987571872; 0] B[0; 0] C[-0; 34]
Centroid: CG[22.24329190624; 11.33333333333]
Coordinates of the circumscribed circle: U[33.36443785936; 17]
Coordinates of the inscribed circle: I[12.91986610956; 12.91986610956]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153° = 0.4711238898 rad
∠ B' = β' = 90° = 1.57107963268 rad
∠ C' = γ' = 117° = 1.10995574288 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    