# 13 22 25 triangle

### Acute scalene triangle.

Sides: a = 13   b = 22   c = 25

Area: T = 142.8298568571
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 31.29904452139° = 31°17'26″ = 0.54661212934 rad
Angle ∠ B = β = 61.51553646048° = 61°30'55″ = 1.07436456529 rad
Angle ∠ C = γ = 87.19441901813° = 87°11'39″ = 1.52218257073 rad

Height: ha = 21.9743625934
Height: hb = 12.98444153246
Height: hc = 11.42662854857

Median: ma = 22.63329405955
Median: mb = 16.61332477258
Median: mc = 13.04879883507

Inradius: r = 4.76109522857
Circumradius: R = 12.5155003251

Vertex coordinates: A[25; 0] B[0; 0] C[6.2; 11.42662854857]
Centroid: CG[10.4; 3.80987618286]
Coordinates of the circumscribed circle: U[12.5; 0.61326225368]
Coordinates of the inscribed circle: I[8; 4.76109522857]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.7109554786° = 148°42'34″ = 0.54661212934 rad
∠ B' = β' = 118.4854635395° = 118°29'5″ = 1.07436456529 rad
∠ C' = γ' = 92.80658098187° = 92°48'21″ = 1.52218257073 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.