# 20 24 25 triangle

### Acute scalene triangle.

Sides: a = 20   b = 24   c = 25

Area: T = 223.3832939143
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 48.12655944006° = 48°7'32″ = 0.84399500768 rad
Angle ∠ B = β = 63.32204569276° = 63°19'14″ = 1.10551504573 rad
Angle ∠ C = γ = 68.55439486718° = 68°33'14″ = 1.19664921196 rad

Height: ha = 22.33882939143
Height: hb = 18.61552449286
Height: hc = 17.87106351314

Median: ma = 22.37218573212
Median: mb = 19.19663538205
Median: mc = 18.21440056001

Inradius: r = 6.47548678012
Circumradius: R = 13.43298528416

Vertex coordinates: A[25; 0] B[0; 0] C[8.98; 17.87106351314]
Centroid: CG[11.32766666667; 5.95768783771]
Coordinates of the circumscribed circle: U[12.5; 4.91102899452]
Coordinates of the inscribed circle: I[10.5; 6.47548678012]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.8744405599° = 131°52'28″ = 0.84399500768 rad
∠ B' = β' = 116.6879543072° = 116°40'46″ = 1.10551504573 rad
∠ C' = γ' = 111.4466051328° = 111°26'46″ = 1.19664921196 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.