# 12 24 25 triangle

### Acute scalene triangle.

Sides: a = 12   b = 24   c = 25

Area: T = 142.0287946194
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 28.25769481283° = 28°15'25″ = 0.49331767814 rad
Angle ∠ B = β = 71.23662521963° = 71°14'10″ = 1.24333071476 rad
Angle ∠ C = γ = 80.50767996754° = 80°30'24″ = 1.40551087246 rad

Height: ha = 23.67113243656
Height: hb = 11.83656621828
Height: hc = 11.36222356955

Median: ma = 23.7599208741
Median: mb = 15.50880624193
Median: mc = 14.27441024236

Inradius: r = 4.65766539736
Circumradius: R = 12.6743562128

Vertex coordinates: A[25; 0] B[0; 0] C[3.86; 11.36222356955]
Centroid: CG[9.62; 3.78774118985]
Coordinates of the circumscribed circle: U[12.5; 2.09902576426]
Coordinates of the inscribed circle: I[6.5; 4.65766539736]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.7433051872° = 151°44'35″ = 0.49331767814 rad
∠ B' = β' = 108.7643747804° = 108°45'49″ = 1.24333071476 rad
∠ C' = γ' = 99.49332003246° = 99°29'36″ = 1.40551087246 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.