# 14 20 24 triangle

### Acute scalene triangle.

Sides: a = 14   b = 20   c = 24

Area: T = 139.9110685796
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 35.65990876961° = 35°39'33″ = 0.62223684886 rad
Angle ∠ B = β = 56.38876254015° = 56°23'15″ = 0.98441497206 rad
Angle ∠ C = γ = 87.95332869023° = 87°57'12″ = 1.53550744444 rad

Height: ha = 19.9877240828
Height: hb = 13.99110685796
Height: hc = 11.65992238164

Median: ma = 20.95223268398
Median: mb = 16.91215345253
Median: mc = 12.4109673646

Inradius: r = 4.82545064068
Circumradius: R = 12.00876603902

Vertex coordinates: A[24; 0] B[0; 0] C[7.75; 11.65992238164]
Centroid: CG[10.58333333333; 3.88664079388]
Coordinates of the circumscribed circle: U[12; 0.42988450139]
Coordinates of the inscribed circle: I[9; 4.82545064068]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.3410912304° = 144°20'27″ = 0.62223684886 rad
∠ B' = β' = 123.6122374598° = 123°36'45″ = 0.98441497206 rad
∠ C' = γ' = 92.04767130977° = 92°2'48″ = 1.53550744444 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.