# 15 25 26 triangle

### Acute scalene triangle.

Sides: a = 15   b = 25   c = 26

Area: T = 182.3844209843
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 34.13875931378° = 34°8'15″ = 0.5965813399 rad
Angle ∠ B = β = 69.27772556184° = 69°16'38″ = 1.20991162073 rad
Angle ∠ C = γ = 76.58551512438° = 76°35'7″ = 1.33766630473 rad

Height: ha = 24.31878946457
Height: hb = 14.59107367874
Height: hc = 14.03295546033

Median: ma = 24.37772434865
Median: mb = 17.15437167984
Median: mc = 16

Inradius: r = 5.52767942377
Circumradius: R = 13.36546438039

Vertex coordinates: A[26; 0] B[0; 0] C[5.30876923077; 14.03295546033]
Centroid: CG[10.43658974359; 4.67765182011]
Coordinates of the circumscribed circle: U[13; 3.10105973625]
Coordinates of the inscribed circle: I[8; 5.52767942377]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.8622406862° = 145°51'45″ = 0.5965813399 rad
∠ B' = β' = 110.7232744382° = 110°43'22″ = 1.20991162073 rad
∠ C' = γ' = 103.4154848756° = 103°24'53″ = 1.33766630473 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.