# 13 24 24 triangle

### Acute isosceles triangle.

Sides: a = 13   b = 24   c = 24

Area: T = 150.1769695678
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 31.4287722096° = 31°25'40″ = 0.5498517227 rad
Angle ∠ B = β = 74.2866138952° = 74°17'10″ = 1.29765377133 rad
Angle ∠ C = γ = 74.2866138952° = 74°17'10″ = 1.29765377133 rad

Height: ha = 23.10330301043
Height: hb = 12.51441413065
Height: hc = 12.51441413065

Median: ma = 23.10330301043
Median: mb = 15.11662164578
Median: mc = 15.11662164578

Inradius: r = 4.92435965796
Circumradius: R = 12.46658972741

Vertex coordinates: A[24; 0] B[0; 0] C[3.52108333333; 12.51441413065]
Centroid: CG[9.17436111111; 4.17113804355]
Coordinates of the circumscribed circle: U[12; 3.37661805117]
Coordinates of the inscribed circle: I[6.5; 4.92435965796]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.5722277904° = 148°34'20″ = 0.5498517227 rad
∠ B' = β' = 105.7143861048° = 105°42'50″ = 1.29765377133 rad
∠ C' = γ' = 105.7143861048° = 105°42'50″ = 1.29765377133 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.