# 10 25 25 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 25   c = 25

Area: T = 122.4744487139
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 23.07439180656° = 23°4'26″ = 0.40327158416 rad
Angle ∠ B = β = 78.46330409672° = 78°27'47″ = 1.3699438406 rad
Angle ∠ C = γ = 78.46330409672° = 78°27'47″ = 1.3699438406 rad

Height: ha = 24.49548974278
Height: hb = 9.79879589711
Height: hc = 9.79879589711

Median: ma = 24.49548974278
Median: mb = 14.36114066163
Median: mc = 14.36114066163

Inradius: r = 4.08224829046
Circumradius: R = 12.7587759077

Vertex coordinates: A[25; 0] B[0; 0] C[2; 9.79879589711]
Centroid: CG[9; 3.26659863237]
Coordinates of the circumscribed circle: U[12.5; 2.55215518154]
Coordinates of the inscribed circle: I[5; 4.08224829046]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.9266081934° = 156°55'34″ = 0.40327158416 rad
∠ B' = β' = 101.5376959033° = 101°32'13″ = 1.3699438406 rad
∠ C' = γ' = 101.5376959033° = 101°32'13″ = 1.3699438406 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.