# 6 22 22 triangle

### Acute isosceles triangle.

Sides: a = 6   b = 22   c = 22

Area: T = 65.38334841531
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 15.67549595262° = 15°40'30″ = 0.27435796538 rad
Angle ∠ B = β = 82.16325202369° = 82°9'45″ = 1.43440064999 rad
Angle ∠ C = γ = 82.16325202369° = 82°9'45″ = 1.43440064999 rad

Height: ha = 21.79444947177
Height: hb = 5.94439531048
Height: hc = 5.94439531048

Median: ma = 21.79444947177
Median: mb = 11.79898261226
Median: mc = 11.79898261226

Inradius: r = 2.61553393661
Circumradius: R = 11.10437215193

Vertex coordinates: A[22; 0] B[0; 0] C[0.81881818182; 5.94439531048]
Centroid: CG[7.60660606061; 1.98113177016]
Coordinates of the circumscribed circle: U[11; 1.51441438435]
Coordinates of the inscribed circle: I[3; 2.61553393661]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.3255040474° = 164°19'30″ = 0.27435796538 rad
∠ B' = β' = 97.83774797631° = 97°50'15″ = 1.43440064999 rad
∠ C' = γ' = 97.83774797631° = 97°50'15″ = 1.43440064999 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.