# 24 25 26 triangle

### Acute scalene triangle.

Sides: a = 24   b = 25   c = 26

Area: T = 269.7665523186
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 56.1043644797° = 56°6'13″ = 0.97991933241 rad
Angle ∠ B = β = 59.84108349754° = 59°50'27″ = 1.04444195975 rad
Angle ∠ C = γ = 64.05655202276° = 64°3'20″ = 1.1187979732 rad

Height: ha = 22.48804602655
Height: hb = 21.58112418549
Height: hc = 20.75111940913

Median: ma = 22.50655548699
Median: mb = 21.67437168017
Median: mc = 20.77325780778

Inradius: r = 7.1943747285
Circumradius: R = 14.45769993746

Vertex coordinates: A[26; 0] B[0; 0] C[12.05876923077; 20.75111940913]
Centroid: CG[12.68658974359; 6.91770646971]
Coordinates of the circumscribed circle: U[13; 6.32549372264]
Coordinates of the inscribed circle: I[12.5; 7.1943747285]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.8966355203° = 123°53'47″ = 0.97991933241 rad
∠ B' = β' = 120.1599165025° = 120°9'33″ = 1.04444195975 rad
∠ C' = γ' = 115.9444479772° = 115°56'40″ = 1.1187979732 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.