# Triangle calculator

You have entered side a, b and angle γ.

### Obtuse isosceles triangle.

Sides: a = 69.5   b = 69.5   c = 104.105484519

Area: T = 2397.123302448
Perimeter: p = 243.105484519
Semiperimeter: s = 121.5522422595

Angle ∠ A = α = 41.5° = 41°30' = 0.72443116396 rad
Angle ∠ B = β = 41.5° = 41°30' = 0.72443116396 rad
Angle ∠ C = γ = 97° = 1.69329693744 rad

Height: ha = 68.98219575391
Height: hb = 68.98219575391
Height: hc = 46.0522093351

Median: ma = 81.40331442635
Median: mb = 81.40331442635
Median: mc = 46.0522093351

Vertex coordinates: A[104.105484519; 0] B[0; 0] C[52.05224225948; 46.0522093351]
Centroid: CG[52.05224225948; 15.35106977837]
Coordinates of the circumscribed circle: U[52.05224225948; -6.39112338522]
Coordinates of the inscribed circle: I[52.05224225948; 19.72108987967]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.5° = 138°30' = 0.72443116396 rad
∠ B' = β' = 138.5° = 138°30' = 0.72443116396 rad
∠ C' = γ' = 83° = 1.69329693744 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and angle γ. ### 2. Calculation of the third side c of the triangle using a Law of Cosines 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines    