# 24.15 12.5 12.5 triangle

### Obtuse isosceles triangle.

Sides: a = 24.15   b = 12.5   c = 12.5

Area: T = 39.02436931185
Perimeter: p = 49.15
Semiperimeter: s = 24.575

Angle ∠ A = α = 150.0332857828° = 150°1'58″ = 2.61985673553 rad
Angle ∠ B = β = 14.98435710862° = 14°59'1″ = 0.26215126492 rad
Angle ∠ C = γ = 14.98435710862° = 14°59'1″ = 0.26215126492 rad

Height: ha = 3.23217758276
Height: hb = 6.2443790899
Height: hc = 6.2443790899

Median: ma = 3.23217758276
Median: mb = 18.18444370273
Median: mc = 18.18444370273

Inradius: r = 1.58879427515
Circumradius: R = 24.17440158251

Vertex coordinates: A[12.5; 0] B[0; 0] C[23.32989; 6.2443790899]
Centroid: CG[11.94329666667; 2.0811263633]
Coordinates of the circumscribed circle: U[6.25; 23.3522099287]
Coordinates of the inscribed circle: I[12.075; 1.58879427515]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 29.96771421723° = 29°58'2″ = 2.61985673553 rad
∠ B' = β' = 165.0166428914° = 165°59″ = 0.26215126492 rad
∠ C' = γ' = 165.0166428914° = 165°59″ = 0.26215126492 rad

# How did we calculate this triangle?

### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines    