# 8 14 17 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 14   c = 17

Area: T = 55.5298708791
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 27.81656217566° = 27°48'56″ = 0.48554741831 rad
Angle ∠ B = β = 54.74657416998° = 54°44'45″ = 0.95554934441 rad
Angle ∠ C = γ = 97.43986365436° = 97°26'19″ = 1.70106250263 rad

Height: ha = 13.88221771978
Height: hb = 7.93326726844
Height: hc = 6.53327892695

Median: ma = 15.05499169433
Median: mb = 11.29215897906
Median: mc = 7.59993420768

Inradius: r = 2.84876260918
Circumradius: R = 8.57221424172

Vertex coordinates: A[17; 0] B[0; 0] C[4.61876470588; 6.53327892695]
Centroid: CG[7.20658823529; 2.17875964232]
Coordinates of the circumscribed circle: U[8.5; -1.11097862951]
Coordinates of the inscribed circle: I[5.5; 2.84876260918]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.1844378243° = 152°11'4″ = 0.48554741831 rad
∠ B' = β' = 125.25442583° = 125°15'15″ = 0.95554934441 rad
∠ C' = γ' = 82.56113634564° = 82°33'41″ = 1.70106250263 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.