# 12 15 24 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 15   c = 24

Area: T = 73.63438067738
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 24.14768479965° = 24°8'49″ = 0.42114420015 rad
Angle ∠ B = β = 30.75435198081° = 30°45'13″ = 0.53767501772 rad
Angle ∠ C = γ = 125.1099632195° = 125°5'59″ = 2.18334004748 rad

Height: ha = 12.2722301129
Height: hb = 9.81878409032
Height: hc = 6.13661505645

Median: ma = 19.0921883092
Median: mb = 17.42884250579
Median: mc = 6.36439610307

Inradius: r = 2.88876002656
Circumradius: R = 14.66771759525

Vertex coordinates: A[24; 0] B[0; 0] C[10.31325; 6.13661505645]
Centroid: CG[11.43875; 2.04553835215]
Coordinates of the circumscribed circle: U[12; -8.43436261727]
Coordinates of the inscribed circle: I[10.5; 2.88876002656]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.8533152003° = 155°51'11″ = 0.42114420015 rad
∠ B' = β' = 149.2466480192° = 149°14'47″ = 0.53767501772 rad
∠ C' = γ' = 54.99003678046° = 54°54'1″ = 2.18334004748 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.