# 40 36 36 triangle

### Acute isosceles triangle.

Sides: a = 40   b = 36   c = 36

Area: T = 598.6655181884
Perimeter: p = 112
Semiperimeter: s = 56

Angle ∠ A = α = 67.49879771918° = 67°29'53″ = 1.17880619404 rad
Angle ∠ B = β = 56.25110114041° = 56°15'4″ = 0.98217653566 rad
Angle ∠ C = γ = 56.25110114041° = 56°15'4″ = 0.98217653566 rad

Height: ha = 29.93332590942
Height: hb = 33.25991767713
Height: hc = 33.25991767713

Median: ma = 29.93332590942
Median: mb = 33.52661092285
Median: mc = 33.52661092285

Vertex coordinates: A[36; 0] B[0; 0] C[22.22222222222; 33.25991767713]
Centroid: CG[19.40774074074; 11.08663922571]
Coordinates of the circumscribed circle: U[18; 12.02767558861]
Coordinates of the inscribed circle: I[20; 10.69904496765]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5022022808° = 112°30'7″ = 1.17880619404 rad
∠ B' = β' = 123.7498988596° = 123°44'56″ = 0.98217653566 rad
∠ C' = γ' = 123.7498988596° = 123°44'56″ = 0.98217653566 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    