# 36 77 85 triangle

### Right scalene triangle.

Sides: a = 36   b = 77   c = 85

Area: T = 1386
Perimeter: p = 198
Semiperimeter: s = 99

Angle ∠ A = α = 25.05876154183° = 25°3'27″ = 0.43773378917 rad
Angle ∠ B = β = 64.94223845817° = 64°56'33″ = 1.1333458435 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 77
Height: hb = 36
Height: hc = 32.61217647059

Median: ma = 79.07659128939
Median: mb = 52.70991073724
Median: mc = 42.5

Inradius: r = 14
Circumradius: R = 42.5

Vertex coordinates: A[85; 0] B[0; 0] C[15.24770588235; 32.61217647059]
Centroid: CG[33.41656862745; 10.87105882353]
Coordinates of the circumscribed circle: U[42.5; -0]
Coordinates of the inscribed circle: I[22; 14]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.9422384582° = 154°56'33″ = 0.43773378917 rad
∠ B' = β' = 115.0587615418° = 115°3'27″ = 1.1333458435 rad
∠ C' = γ' = 90° = 1.57107963268 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    