# 6 15 17 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 15   c = 17

Area: T = 44.45222215418
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 20.40444519895° = 20°24'16″ = 0.35661248693 rad
Angle ∠ B = β = 60.64765299452° = 60°38'48″ = 1.05884816275 rad
Angle ∠ C = γ = 98.94990180653° = 98°56'56″ = 1.72769861569 rad

Height: ha = 14.81774071806
Height: hb = 5.92769628722
Height: hc = 5.23296731226

Median: ma = 15.7488015748
Median: mb = 10.3087764064
Median: mc = 7.63221687612

Inradius: r = 2.34395906075
Circumradius: R = 8.60547443015

Vertex coordinates: A[17; 0] B[0; 0] C[2.94111764706; 5.23296731226]
Centroid: CG[6.64770588235; 1.74332243742]
Coordinates of the circumscribed circle: U[8.5; -1.33985157802]
Coordinates of the inscribed circle: I[4; 2.34395906075]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.596554801° = 159°35'44″ = 0.35661248693 rad
∠ B' = β' = 119.3533470055° = 119°21'12″ = 1.05884816275 rad
∠ C' = γ' = 81.05109819347° = 81°3'4″ = 1.72769861569 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.