# 24 25 25 triangle

### Acute isosceles triangle.

Sides: a = 24   b = 25   c = 25

Area: T = 263.1810546393
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 57.37108040282° = 57°22'15″ = 1.00113094248 rad
Angle ∠ B = β = 61.31545979859° = 61°18'53″ = 1.07701416144 rad
Angle ∠ C = γ = 61.31545979859° = 61°18'53″ = 1.07701416144 rad

Height: ha = 21.93217121995
Height: hb = 21.05444437115
Height: hc = 21.05444437115

Median: ma = 21.93217121995
Median: mb = 21.07772389084
Median: mc = 21.07772389084

Inradius: r = 7.11329877404
Circumradius: R = 14.24987735184

Vertex coordinates: A[25; 0] B[0; 0] C[11.52; 21.05444437115]
Centroid: CG[12.17333333333; 7.01881479038]
Coordinates of the circumscribed circle: U[12.5; 6.83994112888]
Coordinates of the inscribed circle: I[12; 7.11329877404]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.6299195972° = 122°37'45″ = 1.00113094248 rad
∠ B' = β' = 118.6855402014° = 118°41'7″ = 1.07701416144 rad
∠ C' = γ' = 118.6855402014° = 118°41'7″ = 1.07701416144 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.