# 14 15 16 triangle

### Acute scalene triangle.

Sides: a = 14   b = 15   c = 16

Area: T = 96.55879489219
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 53.57664263577° = 53°34'35″ = 0.93550850414 rad
Angle ∠ B = β = 59.55659700416° = 59°33'21″ = 1.03994477664 rad
Angle ∠ C = γ = 66.86876036007° = 66°52'3″ = 1.16770598458 rad

Height: ha = 13.79439927031
Height: hb = 12.87443931896
Height: hc = 12.07697436152

Median: ma = 13.83883525031
Median: mb = 13.02988142208
Median: mc = 12.10437184369

Inradius: r = 4.29114643965
Circumradius: R = 8.69994391387

Vertex coordinates: A[16; 0] B[0; 0] C[7.094375; 12.07697436152]
Centroid: CG[7.69879166667; 4.02332478717]
Coordinates of the circumscribed circle: U[8; 3.41876368045]
Coordinates of the inscribed circle: I[7.5; 4.29114643965]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.4243573642° = 126°25'25″ = 0.93550850414 rad
∠ B' = β' = 120.4444029958° = 120°26'39″ = 1.03994477664 rad
∠ C' = γ' = 113.1322396399° = 113°7'57″ = 1.16770598458 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.