# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

### Obtuse isosceles triangle.

Sides: a = 50   b = 50   c = 84

Area: T = 1139.431143717
Perimeter: p = 184
Semiperimeter: s = 92

Angle ∠ A = α = 32.86598803789° = 32°51'36″ = 0.57435131044 rad
Angle ∠ B = β = 32.86598803789° = 32°51'36″ = 0.57435131044 rad
Angle ∠ C = γ = 114.2880239242° = 114°16'49″ = 1.99545664447 rad

Height: ha = 45.57772574866
Height: hb = 45.57772574866
Height: hc = 27.12993199325

Median: ma = 64.44437739429
Median: mb = 64.44437739429
Median: mc = 27.12993199325

Inradius: r = 12.3855124317
Circumradius: R = 46.07656112984

Vertex coordinates: A[84; 0] B[0; 0] C[42; 27.12993199325]
Centroid: CG[42; 9.04331066442]
Coordinates of the circumscribed circle: U[42; -18.94662913659]
Coordinates of the inscribed circle: I[42; 12.3855124317]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.1440119621° = 147°8'24″ = 0.57435131044 rad
∠ B' = β' = 147.1440119621° = 147°8'24″ = 0.57435131044 rad
∠ C' = γ' = 65.72197607578° = 65°43'11″ = 1.99545664447 rad

# How did we calculate this triangle?

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