# 11 22 22 triangle

### Acute isosceles triangle.

Sides: a = 11   b = 22   c = 22

Area: T = 117.1587746223
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ B = β = 75.52224878141° = 75°31'21″ = 1.31881160717 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 21.30114084041
Height: hb = 10.65107042021
Height: hc = 10.65107042021

Median: ma = 21.30114084041
Median: mb = 13.47221935853
Median: mc = 13.47221935853

Inradius: r = 4.26602816808
Circumradius: R = 11.36107511489

Vertex coordinates: A[22; 0] B[0; 0] C[2.75; 10.65107042021]
Centroid: CG[8.25; 3.5550234734]
Coordinates of the circumscribed circle: U[11; 2.84401877872]
Coordinates of the inscribed circle: I[5.5; 4.26602816808]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ B' = β' = 104.4787512186° = 104°28'39″ = 1.31881160717 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.