# 14 16 16 triangle

### Acute isosceles triangle.

Sides: a = 14   b = 16   c = 16

Area: T = 100.712246199
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 51.88989595447° = 51°53'20″ = 0.90656331895 rad
Angle ∠ B = β = 64.05655202276° = 64°3'20″ = 1.1187979732 rad
Angle ∠ C = γ = 64.05655202276° = 64°3'20″ = 1.1187979732 rad

Height: ha = 14.38774945699
Height: hb = 12.58990577487
Height: hc = 12.58990577487

Median: ma = 14.38774945699
Median: mb = 12.72879220614
Median: mc = 12.72879220614

Inradius: r = 4.37988026952
Circumradius: R = 8.89766149998

Vertex coordinates: A[16; 0] B[0; 0] C[6.125; 12.58990577487]
Centroid: CG[7.375; 4.19663525829]
Coordinates of the circumscribed circle: U[8; 3.89222690624]
Coordinates of the inscribed circle: I[7; 4.37988026952]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.1111040455° = 128°6'40″ = 0.90656331895 rad
∠ B' = β' = 115.9444479772° = 115°56'40″ = 1.1187979732 rad
∠ C' = γ' = 115.9444479772° = 115°56'40″ = 1.1187979732 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    