# 8 11 17 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 11   c = 17

Area: T = 35.49664786986
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 22.31114770869° = 22°18'41″ = 0.38994087361 rad
Angle ∠ B = β = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ C = γ = 126.222154662° = 126°13'18″ = 2.20329815755 rad

Height: ha = 8.87441196746
Height: hb = 6.45439052179
Height: hc = 4.17660563175

Median: ma = 13.74877270849
Median: mb = 12.09333866224
Median: mc = 4.5

Inradius: r = 1.97220265944
Circumradius: R = 10.53662563756

Vertex coordinates: A[17; 0] B[0; 0] C[6.82435294118; 4.17660563175]
Centroid: CG[7.94111764706; 1.39220187725]
Coordinates of the circumscribed circle: U[8.5; -6.22659696765]
Coordinates of the inscribed circle: I[7; 1.97220265944]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.6898522913° = 157°41'19″ = 0.38994087361 rad
∠ B' = β' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ C' = γ' = 53.77884533802° = 53°46'42″ = 2.20329815755 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.