# 20 24 29 triangle

### Acute scalene triangle.

Sides: a = 20   b = 24   c = 29

Area: T = 237.6155103687
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 43.06329928689° = 43°3'47″ = 0.75215910113 rad
Angle ∠ B = β = 55.02110210382° = 55°1'16″ = 0.96602979749 rad
Angle ∠ C = γ = 81.91659860929° = 81°54'58″ = 1.43297036673 rad

Height: ha = 23.76215103687
Height: hb = 19.80112586406
Height: hc = 16.38772485301

Median: ma = 24.66877927671
Median: mb = 21.82988799529
Median: mc = 16.66658333125

Inradius: r = 6.51100028407
Circumradius: R = 14.64655336635

Vertex coordinates: A[29; 0] B[0; 0] C[11.46655172414; 16.38772485301]
Centroid: CG[13.48985057471; 5.46224161767]
Coordinates of the circumscribed circle: U[14.5; 2.06595281714]
Coordinates of the inscribed circle: I[12.5; 6.51100028407]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.9377007131° = 136°56'13″ = 0.75215910113 rad
∠ B' = β' = 124.9798978962° = 124°58'44″ = 0.96602979749 rad
∠ C' = γ' = 98.08440139071° = 98°5'2″ = 1.43297036673 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.