# 15 15 24 triangle

### Obtuse isosceles triangle.

Sides: a = 15   b = 15   c = 24

Area: T = 108
Perimeter: p = 54
Semiperimeter: s = 27

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ C = γ = 106.2660204708° = 106°15'37″ = 1.8554590436 rad

Height: ha = 14.4
Height: hb = 14.4
Height: hc = 9

Median: ma = 18.55439753153
Median: mb = 18.55439753153
Median: mc = 9

Inradius: r = 4
Circumradius: R = 12.5

Vertex coordinates: A[24; 0] B[0; 0] C[12; 9]
Centroid: CG[12; 3]
Coordinates of the circumscribed circle: U[12; -3.5]
Coordinates of the inscribed circle: I[12; 4]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ C' = γ' = 73.74397952917° = 73°44'23″ = 1.8554590436 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.