# 15 24 24 triangle

### Acute isosceles triangle.

Sides: a = 15   b = 24   c = 24

Area: T = 170.9855196728
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 36.42199137286° = 36°25'12″ = 0.63656474079 rad
Angle ∠ B = β = 71.79900431357° = 71°47'24″ = 1.25329726229 rad
Angle ∠ C = γ = 71.79900431357° = 71°47'24″ = 1.25329726229 rad

Height: ha = 22.79880262304
Height: hb = 14.2498766394
Height: hc = 14.2498766394

Median: ma = 22.79880262304
Median: mb = 16.0165617378
Median: mc = 16.0165617378

Inradius: r = 5.42881014834
Circumradius: R = 12.63326725432

Vertex coordinates: A[24; 0] B[0; 0] C[4.68875; 14.2498766394]
Centroid: CG[9.56325; 4.7549588798]
Coordinates of the circumscribed circle: U[12; 3.94877101698]
Coordinates of the inscribed circle: I[7.5; 5.42881014834]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.5880086271° = 143°34'48″ = 0.63656474079 rad
∠ B' = β' = 108.2109956864° = 108°12'36″ = 1.25329726229 rad
∠ C' = γ' = 108.2109956864° = 108°12'36″ = 1.25329726229 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.