# 14 24 25 triangle

### Acute scalene triangle.

Sides: a = 14   b = 24   c = 25

Area: T = 163.9311197458
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 33.12329402077° = 33°7'23″ = 0.57881043646 rad
Angle ∠ B = β = 69.51326848853° = 69°30'46″ = 1.21332252231 rad
Angle ∠ C = γ = 77.3644374907° = 77°21'52″ = 1.35502630659 rad

Height: ha = 23.4198742494
Height: hb = 13.66109331215
Height: hc = 13.11444957966

Median: ma = 23.48440371316
Median: mb = 16.32548277173
Median: mc = 15.15875063912

Inradius: r = 5.20441649987
Circumradius: R = 12.81102523044

Vertex coordinates: A[25; 0] B[0; 0] C[4.9; 13.11444957966]
Centroid: CG[9.96766666667; 4.37114985989]
Coordinates of the circumscribed circle: U[12.5; 2.80222426916]
Coordinates of the inscribed circle: I[7.5; 5.20441649987]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.8777059792° = 146°52'37″ = 0.57881043646 rad
∠ B' = β' = 110.4877315115° = 110°29'14″ = 1.21332252231 rad
∠ C' = γ' = 102.6365625093° = 102°38'8″ = 1.35502630659 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.