# 8 24 25 triangle

### Acute scalene triangle.

Sides: a = 8   b = 24   c = 25

Area: T = 95.92767298515
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 18.64881553056° = 18°38'53″ = 0.32554717095 rad
Angle ∠ B = β = 73.59105306552° = 73°35'26″ = 1.28443970582 rad
Angle ∠ C = γ = 87.76113140392° = 87°45'41″ = 1.53217238859 rad

Height: ha = 23.98216824629
Height: hb = 7.99438941543
Height: hc = 7.67441383881

Median: ma = 24.17664348075
Median: mb = 14.16598022585
Median: mc = 12.79664838921

Inradius: r = 3.36658501702
Circumradius: R = 12.5109547671

Vertex coordinates: A[25; 0] B[0; 0] C[2.26; 7.67441383881]
Centroid: CG[9.08766666667; 2.55880461294]
Coordinates of the circumscribed circle: U[12.5; 0.48986542059]
Coordinates of the inscribed circle: I[4.5; 3.36658501702]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.3521844694° = 161°21'7″ = 0.32554717095 rad
∠ B' = β' = 106.4099469345° = 106°24'34″ = 1.28443970582 rad
∠ C' = γ' = 92.23986859608° = 92°14'19″ = 1.53217238859 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.