# 10 11 17 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 11   c = 17

Area: T = 52.30767873225
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 34.01664484671° = 34°59″ = 0.59436990256 rad
Angle ∠ B = β = 37.97990985328° = 37°58'45″ = 0.66328603163 rad
Angle ∠ C = γ = 108.0044453° = 108°16″ = 1.88550333117 rad

Height: ha = 10.46113574645
Height: hb = 9.51103249677
Height: hc = 6.1543739685

Median: ma = 13.4166407865
Median: mb = 12.8166005618
Median: mc = 6.18546584384

Inradius: r = 2.75329888064
Circumradius: R = 8.9387654632

Vertex coordinates: A[17; 0] B[0; 0] C[7.88223529412; 6.1543739685]
Centroid: CG[8.29441176471; 2.05112465617]
Coordinates of the circumscribed circle: U[8.5; -2.76325477954]
Coordinates of the inscribed circle: I[8; 2.75329888064]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.9843551533° = 145°59'1″ = 0.59436990256 rad
∠ B' = β' = 142.0210901467° = 142°1'15″ = 0.66328603163 rad
∠ C' = γ' = 71.99655469999° = 71°59'44″ = 1.88550333117 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    