# 150 150 130 triangle

### Acute isosceles triangle.

Sides: a = 150   b = 150   c = 130

Area: T = 8787.029879249
Perimeter: p = 430
Semiperimeter: s = 215

Angle ∠ A = α = 64.32107113805° = 64°19'15″ = 1.12326081908 rad
Angle ∠ B = β = 64.32107113805° = 64°19'15″ = 1.12326081908 rad
Angle ∠ C = γ = 51.35985772389° = 51°21'31″ = 0.8966376272 rad

Height: ha = 117.16603839
Height: hb = 117.16603839
Height: hc = 135.1855058346

Median: ma = 118.6388105177
Median: mb = 118.6388105177
Median: mc = 135.1855058346

Inradius: r = 40.87699013604
Circumradius: R = 83.21992561637

Vertex coordinates: A[130; 0] B[0; 0] C[65; 135.1855058346]
Centroid: CG[65; 45.06216861153]
Coordinates of the circumscribed circle: U[65; 51.96658021822]
Coordinates of the inscribed circle: I[65; 40.87699013604]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.6799288619° = 115°40'45″ = 1.12326081908 rad
∠ B' = β' = 115.6799288619° = 115°40'45″ = 1.12326081908 rad
∠ C' = γ' = 128.6411422761° = 128°38'29″ = 0.8966376272 rad

# How did we calculate this triangle?

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. ### 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    