# 8 25 25 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 25   c = 25

Area: T = 98.7121701434
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 18.41437924427° = 18°24'50″ = 0.32113813059 rad
Angle ∠ B = β = 80.79331037787° = 80°47'35″ = 1.41101056738 rad
Angle ∠ C = γ = 80.79331037787° = 80°47'35″ = 1.41101056738 rad

Height: ha = 24.67879253585
Height: hb = 7.89769361147
Height: hc = 7.89769361147

Median: ma = 24.67879253585
Median: mb = 13.7220422734
Median: mc = 13.7220422734

Inradius: r = 3.40438517736
Circumradius: R = 12.66331390386

Vertex coordinates: A[25; 0] B[0; 0] C[1.28; 7.89769361147]
Centroid: CG[8.76; 2.63223120382]
Coordinates of the circumscribed circle: U[12.5; 2.02661022462]
Coordinates of the inscribed circle: I[4; 3.40438517736]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.5866207557° = 161°35'10″ = 0.32113813059 rad
∠ B' = β' = 99.20768962213° = 99°12'25″ = 1.41101056738 rad
∠ C' = γ' = 99.20768962213° = 99°12'25″ = 1.41101056738 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.