# 10 25 26 triangle

### Acute scalene triangle.

Sides: a = 10   b = 25   c = 26

Area: T = 124.3988301837
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 22.5054996964° = 22°30'18″ = 0.39327862952 rad
Angle ∠ B = β = 73.11990162165° = 73°7'8″ = 1.27661675788 rad
Angle ∠ C = γ = 84.37659868195° = 84°22'34″ = 1.47326387796 rad

Height: ha = 24.88796603675
Height: hb = 9.9521864147
Height: hc = 9.56991001413

Median: ma = 25.01099980008
Median: mb = 15.22333373476
Median: mc = 13.91104277432

Inradius: r = 4.07986328471
Circumradius: R = 13.06328792837

Vertex coordinates: A[26; 0] B[0; 0] C[2.90438461538; 9.56991001413]
Centroid: CG[9.63546153846; 3.19897000471]
Coordinates of the circumscribed circle: U[13; 1.28801621698]
Coordinates of the inscribed circle: I[5.5; 4.07986328471]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.4955003036° = 157°29'42″ = 0.39327862952 rad
∠ B' = β' = 106.8810983783° = 106°52'52″ = 1.27661675788 rad
∠ C' = γ' = 95.62440131805° = 95°37'26″ = 1.47326387796 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.