# 6 14 15 triangle

### Acute scalene triangle.

Sides: a = 6   b = 14   c = 15

Area: T = 41.9643525829
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 23.55664643091° = 23°33'23″ = 0.41111378623 rad
Angle ∠ B = β = 68.83215511542° = 68°49'54″ = 1.20113371969 rad
Angle ∠ C = γ = 87.61219845367° = 87°36'43″ = 1.52991175944 rad

Height: ha = 13.9887841943
Height: hb = 5.99547894041
Height: hc = 5.59551367772

Median: ma = 14.19550695666
Median: mb = 9.02877350426
Median: mc = 7.73298124169

Inradius: r = 2.39879157617
Circumradius: R = 7.50765189061

Vertex coordinates: A[15; 0] B[0; 0] C[2.16766666667; 5.59551367772]
Centroid: CG[5.72222222222; 1.86550455924]
Coordinates of the circumscribed circle: U[7.5; 0.31327716211]
Coordinates of the inscribed circle: I[3.5; 2.39879157617]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.4443535691° = 156°26'37″ = 0.41111378623 rad
∠ B' = β' = 111.1688448846° = 111°10'6″ = 1.20113371969 rad
∠ C' = γ' = 92.38880154633° = 92°23'17″ = 1.52991175944 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.