# 24 28 29 triangle

### Acute scalene triangle.

Sides: a = 24   b = 28   c = 29

Area: T = 309.9376989564
Perimeter: p = 81
Semiperimeter: s = 40.5

Angle ∠ A = α = 49.76441130987° = 49°45'51″ = 0.86985476229 rad
Angle ∠ B = β = 62.95217046453° = 62°57'6″ = 1.09987145158 rad
Angle ∠ C = γ = 67.2844182256° = 67°17'3″ = 1.17443305149 rad

Height: ha = 25.82880824637
Height: hb = 22.13883563974
Height: hc = 21.37549647975

Median: ma = 25.85553669477
Median: mb = 22.63884628453
Median: mc = 21.67437168017

Inradius: r = 7.65327651744
Circumradius: R = 15.71993241338

Vertex coordinates: A[29; 0] B[0; 0] C[10.91437931034; 21.37549647975]
Centroid: CG[13.30545977011; 7.12549882658]
Coordinates of the circumscribed circle: U[14.5; 6.07701854356]
Coordinates of the inscribed circle: I[12.5; 7.65327651744]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.2365886901° = 130°14'9″ = 0.86985476229 rad
∠ B' = β' = 117.0488295355° = 117°2'54″ = 1.09987145158 rad
∠ C' = γ' = 112.7165817744° = 112°42'57″ = 1.17443305149 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.