# 13 13 24 triangle

### Obtuse isosceles triangle.

Sides: a = 13   b = 13   c = 24

Area: T = 60
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 22.6219864948° = 22°37'11″ = 0.39547911197 rad
Angle ∠ B = β = 22.6219864948° = 22°37'11″ = 0.39547911197 rad
Angle ∠ C = γ = 134.7660270104° = 134°45'37″ = 2.35220104142 rad

Height: ha = 9.23107692308
Height: hb = 9.23107692308
Height: hc = 5

Median: ma = 18.17327818454
Median: mb = 18.17327818454
Median: mc = 5

Inradius: r = 2.4
Circumradius: R = 16.9

Vertex coordinates: A[24; 0] B[0; 0] C[12; 5]
Centroid: CG[12; 1.66766666667]
Coordinates of the circumscribed circle: U[12; -11.9]
Coordinates of the inscribed circle: I[12; 2.4]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.3880135052° = 157°22'49″ = 0.39547911197 rad
∠ B' = β' = 157.3880135052° = 157°22'49″ = 0.39547911197 rad
∠ C' = γ' = 45.24397298961° = 45°14'23″ = 2.35220104142 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.