# 24 24 25 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 24   c = 25

Area: T = 256.0987515607
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 58.61218335357° = 58°36'43″ = 1.02329694758 rad
Angle ∠ B = β = 58.61218335357° = 58°36'43″ = 1.02329694758 rad
Angle ∠ C = γ = 62.77663329287° = 62°46'35″ = 1.09656537019 rad

Height: ha = 21.34114596339
Height: hb = 21.34114596339
Height: hc = 20.48878012485

Median: ma = 21.36658606192
Median: mb = 21.36658606192
Median: mc = 20.48878012485

Inradius: r = 7.01663702906
Circumradius: R = 14.05771453474

Vertex coordinates: A[25; 0] B[0; 0] C[12.5; 20.48878012485]
Centroid: CG[12.5; 6.82992670828]
Coordinates of the circumscribed circle: U[12.5; 6.43106559011]
Coordinates of the inscribed circle: I[12.5; 7.01663702906]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.3888166464° = 121°23'17″ = 1.02329694758 rad
∠ B' = β' = 121.3888166464° = 121°23'17″ = 1.02329694758 rad
∠ C' = γ' = 117.2243667071° = 117°13'25″ = 1.09656537019 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.