# 15 24 25 triangle

### Acute scalene triangle.

Sides: a = 15   b = 24   c = 25

Area: T = 174.5399393834
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 35.57771025511° = 35°34'38″ = 0.62109375778 rad
Angle ∠ B = β = 68.57219019579° = 68°34'19″ = 1.19768054635 rad
Angle ∠ C = γ = 75.85109954911° = 75°51'4″ = 1.32438496122 rad

Height: ha = 23.27219191779
Height: hb = 14.54549494862
Height: hc = 13.96331515067

Median: ma = 23.32991662946
Median: mb = 16.76330546142
Median: mc = 15.62884996081

Inradius: r = 5.45443560573
Circumradius: R = 12.89110726145

Vertex coordinates: A[25; 0] B[0; 0] C[5.48; 13.96331515067]
Centroid: CG[10.16; 4.65443838356]
Coordinates of the circumscribed circle: U[12.5; 3.15111510835]
Coordinates of the inscribed circle: I[8; 5.45443560573]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.4232897449° = 144°25'22″ = 0.62109375778 rad
∠ B' = β' = 111.4288098042° = 111°25'41″ = 1.19768054635 rad
∠ C' = γ' = 104.1499004509° = 104°8'56″ = 1.32438496122 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.