# 14 25 26 triangle

### Acute scalene triangle.

Sides: a = 14   b = 25   c = 26

Area: T = 171.2044373484
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 31.78883306171° = 31°47'18″ = 0.5554811033 rad
Angle ∠ B = β = 70.16766380911° = 70°10' = 1.22546388597 rad
Angle ∠ C = γ = 78.04550312918° = 78°2'42″ = 1.36221427609 rad

Height: ha = 24.45877676406
Height: hb = 13.69663498787
Height: hc = 13.17695671911

Median: ma = 24.52554969369
Median: mb = 16.72657286837
Median: mc = 15.54402702679

Inradius: r = 5.26878268764
Circumradius: R = 13.28882119405

Vertex coordinates: A[26; 0] B[0; 0] C[4.75; 13.17695671911]
Centroid: CG[10.25; 4.39898557304]
Coordinates of the circumscribed circle: U[13; 2.75325581877]
Coordinates of the inscribed circle: I[7.5; 5.26878268764]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.2121669383° = 148°12'42″ = 0.5554811033 rad
∠ B' = β' = 109.8333361909° = 109°50' = 1.22546388597 rad
∠ C' = γ' = 101.9554968708° = 101°57'18″ = 1.36221427609 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.