# 20 23 29 triangle

### Acute scalene triangle.

Sides: a = 20   b = 23   c = 29

Area: T = 228.945540834
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 43.35331348587° = 43°21'11″ = 0.75766549443 rad
Angle ∠ B = β = 52.13657227104° = 52°8'9″ = 0.91099400192 rad
Angle ∠ C = γ = 84.5111142431° = 84°30'40″ = 1.475499769 rad

Height: ha = 22.8954540834
Height: hb = 19.90882963774
Height: hc = 15.78993385062

Median: ma = 24.18767732449
Median: mb = 22.0966379794
Median: mc = 15.94552187191

Inradius: r = 6.36595946761
Circumradius: R = 14.56767913769

Vertex coordinates: A[29; 0] B[0; 0] C[12.2765862069; 15.78993385062]
Centroid: CG[13.75986206897; 5.26331128354]
Coordinates of the circumscribed circle: U[14.5; 1.39333452621]
Coordinates of the inscribed circle: I[13; 6.36595946761]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.6476865141° = 136°38'49″ = 0.75766549443 rad
∠ B' = β' = 127.864427729° = 127°51'51″ = 0.91099400192 rad
∠ C' = γ' = 95.4898857569° = 95°29'20″ = 1.475499769 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.