# 15 20 24 triangle

### Acute scalene triangle.

Sides: a = 15   b = 20   c = 24

Area: T = 149.4998954846
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 38.5299120217° = 38°31'45″ = 0.67224600057 rad
Angle ∠ B = β = 56.15552520101° = 56°9'19″ = 0.98800940399 rad
Angle ∠ C = γ = 85.31656277729° = 85°18'56″ = 1.4899038608 rad

Height: ha = 19.93331939794
Height: hb = 14.95498954846
Height: hc = 12.45882462372

Median: ma = 20.77985947552
Median: mb = 17.33549358234
Median: mc = 12.98107549857

Inradius: r = 5.06877611812
Circumradius: R = 12.04402179524

Vertex coordinates: A[24; 0] B[0; 0] C[8.35441666667; 12.45882462372]
Centroid: CG[10.78547222222; 4.15327487457]
Coordinates of the circumscribed circle: U[12; 0.98332844661]
Coordinates of the inscribed circle: I[9.5; 5.06877611812]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.4710879783° = 141°28'15″ = 0.67224600057 rad
∠ B' = β' = 123.845474799° = 123°50'41″ = 0.98800940399 rad
∠ C' = γ' = 94.68443722271° = 94°41'4″ = 1.4899038608 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.