# 14 24 28 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 24   c = 28

Area: T = 167.973321215
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 29.99547255274° = 29°59'41″ = 0.52435067187 rad
Angle ∠ B = β = 58.98220811689° = 58°58'55″ = 1.02994315161 rad
Angle ∠ C = γ = 91.02331933037° = 91°1'23″ = 1.58986544188 rad

Height: ha = 23.99661731643
Height: hb = 13.99877676792
Height: hc = 11.99880865821

Median: ma = 25.12197133742
Median: mb = 18.60110752377
Median: mc = 13.78440487521

Inradius: r = 5.09900973379
Circumradius: R = 14.00222326768

Vertex coordinates: A[28; 0] B[0; 0] C[7.21442857143; 11.99880865821]
Centroid: CG[11.73880952381; 3.9999362194]
Coordinates of the circumscribed circle: U[14; -0.25500398692]
Coordinates of the inscribed circle: I[9; 5.09900973379]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0055274473° = 150°19″ = 0.52435067187 rad
∠ B' = β' = 121.0187918831° = 121°1'5″ = 1.02994315161 rad
∠ C' = γ' = 88.97768066963° = 88°58'37″ = 1.58986544188 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    