# 22 22 24 triangle

### Acute isosceles triangle.

Sides: a = 22   b = 22   c = 24

Area: T = 221.2699066975
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 56.94442688491° = 56°56'39″ = 0.99438649816 rad
Angle ∠ B = β = 56.94442688491° = 56°56'39″ = 0.99438649816 rad
Angle ∠ C = γ = 66.11114623017° = 66°6'41″ = 1.15438626905 rad

Height: ha = 20.1155369725
Height: hb = 20.1155369725
Height: hc = 18.43990889146

Median: ma = 20.22437484162
Median: mb = 20.22437484162
Median: mc = 18.43990889146

Inradius: r = 6.50879137346
Circumradius: R = 13.1244292698

Vertex coordinates: A[24; 0] B[0; 0] C[12; 18.43990889146]
Centroid: CG[12; 6.14663629715]
Coordinates of the circumscribed circle: U[12; 5.31547962166]
Coordinates of the inscribed circle: I[12; 6.50879137346]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.0565731151° = 123°3'21″ = 0.99438649816 rad
∠ B' = β' = 123.0565731151° = 123°3'21″ = 0.99438649816 rad
∠ C' = γ' = 113.8898537698° = 113°53'19″ = 1.15438626905 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.