# 22 22 30 triangle

### Acute isosceles triangle.

Sides: a = 22   b = 22   c = 30

Area: T = 241.4022154091
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 47.01441139198° = 47°51″ = 0.82105510828 rad
Angle ∠ B = β = 47.01441139198° = 47°51″ = 0.82105510828 rad
Angle ∠ C = γ = 85.97217721604° = 85°58'18″ = 1.5500490488 rad

Height: ha = 21.9465650372
Height: hb = 21.9465650372
Height: hc = 16.09334769394

Median: ma = 23.89656062907
Median: mb = 23.89656062907
Median: mc = 16.09334769394

Inradius: r = 6.5244382543
Circumradius: R = 15.03771483372

Vertex coordinates: A[30; 0] B[0; 0] C[15; 16.09334769394]
Centroid: CG[15; 5.36444923131]
Coordinates of the circumscribed circle: U[15; 1.05663286022]
Coordinates of the inscribed circle: I[15; 6.5244382543]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.986588608° = 132°59'9″ = 0.82105510828 rad
∠ B' = β' = 132.986588608° = 132°59'9″ = 0.82105510828 rad
∠ C' = γ' = 94.02882278396° = 94°1'42″ = 1.5500490488 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.