# 23 25 25 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 25   c = 25

Area: T = 255.2776688125
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 54.77442150053° = 54°46'27″ = 0.9565990397 rad
Angle ∠ B = β = 62.61328924973° = 62°36'46″ = 1.09328011283 rad
Angle ∠ C = γ = 62.61328924973° = 62°36'46″ = 1.09328011283 rad

Height: ha = 22.19879728804
Height: hb = 20.422213505
Height: hc = 20.422213505

Median: ma = 22.19879728804
Median: mb = 20.51221914968
Median: mc = 20.51221914968

Inradius: r = 6.99438818664
Circumradius: R = 14.078786205

Vertex coordinates: A[25; 0] B[0; 0] C[10.58; 20.422213505]
Centroid: CG[11.86; 6.807737835]
Coordinates of the circumscribed circle: U[12.5; 6.4765816543]
Coordinates of the inscribed circle: I[11.5; 6.99438818664]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.2265784995° = 125°13'33″ = 0.9565990397 rad
∠ B' = β' = 117.3877107503° = 117°23'14″ = 1.09328011283 rad
∠ C' = γ' = 117.3877107503° = 117°23'14″ = 1.09328011283 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.