# 22 29 29 triangle

### Acute isosceles triangle.

Sides: a = 22   b = 29   c = 29

Area: T = 295.161097303
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 44.58219407495° = 44°34'55″ = 0.7788101653 rad
Angle ∠ B = β = 67.70990296252° = 67°42'33″ = 1.18217455003 rad
Angle ∠ C = γ = 67.70990296252° = 67°42'33″ = 1.18217455003 rad

Height: ha = 26.833281573
Height: hb = 20.35659291745
Height: hc = 20.35659291745

Median: ma = 26.833281573
Median: mb = 21.26661703181
Median: mc = 21.26661703181

Inradius: r = 7.37990243257
Circumradius: R = 15.67111097423

Vertex coordinates: A[29; 0] B[0; 0] C[8.34548275862; 20.35659291745]
Centroid: CG[12.44882758621; 6.78553097248]
Coordinates of the circumscribed circle: U[14.5; 5.94442140402]
Coordinates of the inscribed circle: I[11; 7.37990243257]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.418805925° = 135°25'5″ = 0.7788101653 rad
∠ B' = β' = 112.2910970375° = 112°17'27″ = 1.18217455003 rad
∠ C' = γ' = 112.2910970375° = 112°17'27″ = 1.18217455003 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    