# 23 23 25 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 23   c = 25

Area: T = 241.3344182204
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 57.07992654719° = 57°4'45″ = 0.99662211171 rad
Angle ∠ B = β = 57.07992654719° = 57°4'45″ = 0.99662211171 rad
Angle ∠ C = γ = 65.84114690562° = 65°50'29″ = 1.14991504194 rad

Height: ha = 20.98655810612
Height: hb = 20.98655810612
Height: hc = 19.30767345763

Median: ma = 21.0899096709
Median: mb = 21.0899096709
Median: mc = 19.30767345763

Inradius: r = 6.79881459776
Circumradius: R = 13.7699882751

Vertex coordinates: A[25; 0] B[0; 0] C[12.5; 19.30767345763]
Centroid: CG[12.5; 6.43655781921]
Coordinates of the circumscribed circle: U[12.5; 5.60768518253]
Coordinates of the inscribed circle: I[12.5; 6.79881459776]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.9210734528° = 122°55'15″ = 0.99662211171 rad
∠ B' = β' = 122.9210734528° = 122°55'15″ = 0.99662211171 rad
∠ C' = γ' = 114.1598530944° = 114°9'31″ = 1.14991504194 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.