# 14 24 26 triangle

### Acute scalene triangle.

Sides: a = 14   b = 24   c = 26

Area: T = 166.2776877527
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 32.2044227504° = 32°12'15″ = 0.5622069803 rad
Angle ∠ B = β = 66.00989831978° = 66°32″ = 1.15220740927 rad
Angle ∠ C = γ = 81.78767892983° = 81°47'12″ = 1.42774487579 rad

Height: ha = 23.75438396467
Height: hb = 13.85664064606
Height: hc = 12.79105290405

Median: ma = 24.02108242989
Median: mb = 17.08880074906
Median: mc = 14.73109198627

Inradius: r = 5.19661524227
Circumradius: R = 13.13547186241

Vertex coordinates: A[26; 0] B[0; 0] C[5.69223076923; 12.79105290405]
Centroid: CG[10.56441025641; 4.26435096802]
Coordinates of the circumscribed circle: U[13; 1.87663883749]
Coordinates of the inscribed circle: I[8; 5.19661524227]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.7965772496° = 147°47'45″ = 0.5622069803 rad
∠ B' = β' = 113.9911016802° = 113°59'28″ = 1.15220740927 rad
∠ C' = γ' = 98.21332107017° = 98°12'48″ = 1.42774487579 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.