# 22 24 24 triangle

### Acute isosceles triangle.

Sides: a = 22   b = 24   c = 24

Area: T = 234.6388019085
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 54.5599225472° = 54°33'33″ = 0.95222381218 rad
Angle ∠ B = β = 62.7220387264° = 62°43'13″ = 1.09546772659 rad
Angle ∠ C = γ = 62.7220387264° = 62°43'13″ = 1.09546772659 rad

Height: ha = 21.33107290077
Height: hb = 19.55331682571
Height: hc = 19.55331682571

Median: ma = 21.33107290077
Median: mb = 19.64768827044
Median: mc = 19.64768827044

Inradius: r = 6.70439434024
Circumradius: R = 13.5021648251

Vertex coordinates: A[24; 0] B[0; 0] C[10.08333333333; 19.55331682571]
Centroid: CG[11.36111111111; 6.51877227524]
Coordinates of the circumscribed circle: U[12; 6.18882554484]
Coordinates of the inscribed circle: I[11; 6.70439434024]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.4410774528° = 125°26'27″ = 0.95222381218 rad
∠ B' = β' = 117.2879612736° = 117°16'47″ = 1.09546772659 rad
∠ C' = γ' = 117.2879612736° = 117°16'47″ = 1.09546772659 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    