# 23 29 29 triangle

### Acute isosceles triangle.

Sides: a = 23   b = 29   c = 29

Area: T = 306.1577128775
Perimeter: p = 81
Semiperimeter: s = 40.5

Angle ∠ A = α = 46.726557264° = 46°43'32″ = 0.81655150874 rad
Angle ∠ B = β = 66.637721368° = 66°38'14″ = 1.16330387831 rad
Angle ∠ C = γ = 66.637721368° = 66°38'14″ = 1.16330387831 rad

Height: ha = 26.62223590239
Height: hb = 21.11442847431
Height: hc = 21.11442847431

Median: ma = 26.62223590239
Median: mb = 21.78987585695
Median: mc = 21.78987585695

Inradius: r = 7.55994352784
Circumradius: R = 15.79549939606

Vertex coordinates: A[29; 0] B[0; 0] C[9.12106896552; 21.11442847431]
Centroid: CG[12.70768965517; 7.03880949144]
Coordinates of the circumscribed circle: U[14.5; 6.26435320878]
Coordinates of the inscribed circle: I[11.5; 7.55994352784]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.274442736° = 133°16'28″ = 0.81655150874 rad
∠ B' = β' = 113.363278632° = 113°21'46″ = 1.16330387831 rad
∠ C' = γ' = 113.363278632° = 113°21'46″ = 1.16330387831 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.