# 23 24 25 triangle

### Acute scalene triangle.

Sides: a = 23   b = 24   c = 25

Area: T = 248.5487782127
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 55.94442022574° = 55°56'39″ = 0.97664105268 rad
Angle ∠ B = β = 59.82772594831° = 59°49'38″ = 1.04441826604 rad
Angle ∠ C = γ = 64.22985382594° = 64°13'43″ = 1.12109994664 rad

Height: ha = 21.61328506197
Height: hb = 20.71223151772
Height: hc = 19.88438225701

Median: ma = 21.63990850084
Median: mb = 20.80986520467
Median: mc = 19.90660292374

Inradius: r = 6.90441050591
Circumradius: R = 13.88106308006

Vertex coordinates: A[25; 0] B[0; 0] C[11.56; 19.88438225701]
Centroid: CG[12.18766666667; 6.62879408567]
Coordinates of the circumscribed circle: U[12.5; 6.03550568698]
Coordinates of the inscribed circle: I[12; 6.90441050591]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.0565797743° = 124°3'21″ = 0.97664105268 rad
∠ B' = β' = 120.1732740517° = 120°10'22″ = 1.04441826604 rad
∠ C' = γ' = 115.7711461741° = 115°46'17″ = 1.12109994664 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.