# 14 15 17 triangle

### Acute scalene triangle.

Sides: a = 14   b = 15   c = 17

Area: T = 99.6799486355
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 51.42656685955° = 51°25'32″ = 0.8987547237 rad
Angle ∠ B = β = 56.89220298157° = 56°53'31″ = 0.99329532384 rad
Angle ∠ C = γ = 71.68223015888° = 71°40'56″ = 1.25110921781 rad

Height: ha = 14.24399266221
Height: hb = 13.29105981807
Height: hc = 11.72769983947

Median: ma = 14.42222051019
Median: mb = 13.6477344064
Median: mc = 11.75879760163

Inradius: r = 4.33438907111
Circumradius: R = 8.95436978233

Vertex coordinates: A[17; 0] B[0; 0] C[7.64770588235; 11.72769983947]
Centroid: CG[8.21656862745; 3.90989994649]
Coordinates of the circumscribed circle: U[8.5; 2.81440193159]
Coordinates of the inscribed circle: I[8; 4.33438907111]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.5744331405° = 128°34'28″ = 0.8987547237 rad
∠ B' = β' = 123.1087970184° = 123°6'29″ = 0.99329532384 rad
∠ C' = γ' = 108.3187698411° = 108°19'4″ = 1.25110921781 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.