# 22 27 27 triangle

### Acute isosceles triangle.

Sides: a = 22   b = 27   c = 27

Area: T = 271.2344216131
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 48.08441518115° = 48°5'3″ = 0.83992267671 rad
Angle ∠ B = β = 65.95879240942° = 65°57'29″ = 1.15111829432 rad
Angle ∠ C = γ = 65.95879240942° = 65°57'29″ = 1.15111829432 rad

Height: ha = 24.65876560119
Height: hb = 20.09114234171
Height: hc = 20.09114234171

Median: ma = 24.65876560119
Median: mb = 20.5977329924
Median: mc = 20.5977329924

Inradius: r = 7.13877425298
Circumradius: R = 14.78224270005

Vertex coordinates: A[27; 0] B[0; 0] C[8.9632962963; 20.09114234171]
Centroid: CG[11.9887654321; 6.6977141139]
Coordinates of the circumscribed circle: U[13.5; 6.02224702595]
Coordinates of the inscribed circle: I[11; 7.13877425298]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.9165848188° = 131°54'57″ = 0.83992267671 rad
∠ B' = β' = 114.0422075906° = 114°2'31″ = 1.15111829432 rad
∠ C' = γ' = 114.0422075906° = 114°2'31″ = 1.15111829432 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.