# 12 22 25 triangle

### Acute scalene triangle.

Sides: a = 12   b = 22   c = 25

Area: T = 131.9987869301
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 28.68548959816° = 28°41'6″ = 0.50106458805 rad
Angle ∠ B = β = 61.64106499718° = 61°38'26″ = 1.07658322951 rad
Angle ∠ C = γ = 89.67444540466° = 89°40'28″ = 1.5655114478 rad

Height: ha = 221.9996448835
Height: hb = 121.9998063001
Height: hc = 10.56598295441

Median: ma = 22.77105950735
Median: mb = 16.23326830807
Median: mc = 12.56598566871

Inradius: r = 4.47545040441
Circumradius: R = 12.5500201774

Vertex coordinates: A[25; 0] B[0; 0] C[5.7; 10.56598295441]
Centroid: CG[10.23333333333; 3.52199431814]
Coordinates of the circumscribed circle: U[12.5; 0.07110238737]
Coordinates of the inscribed circle: I[7.5; 4.47545040441]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.3155104018° = 151°18'54″ = 0.50106458805 rad
∠ B' = β' = 118.3599350028° = 118°21'34″ = 1.07658322951 rad
∠ C' = γ' = 90.32655459534° = 90°19'32″ = 1.5655114478 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.