# 8 10 17 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 10   c = 17

Area: T = 24.96987304443
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 17.08325832434° = 17°4'57″ = 0.29881473223 rad
Angle ∠ B = β = 21.54222496296° = 21°32'32″ = 0.37659831843 rad
Angle ∠ C = γ = 141.3755167127° = 141°22'31″ = 2.46774621469 rad

Height: ha = 6.24221826111
Height: hb = 4.99437460889
Height: hc = 2.93774976993

Median: ma = 13.36603892159
Median: mb = 12.30985336251
Median: mc = 3.12224989992

Inradius: r = 1.42767845968
Circumradius: R = 13.61770319416

Vertex coordinates: A[17; 0] B[0; 0] C[7.44111764706; 2.93774976993]
Centroid: CG[8.14770588235; 0.97991658998]
Coordinates of the circumscribed circle: U[8.5; -10.63883062043]
Coordinates of the inscribed circle: I[7.5; 1.42767845968]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.9177416757° = 162°55'3″ = 0.29881473223 rad
∠ B' = β' = 158.458775037° = 158°27'28″ = 0.37659831843 rad
∠ C' = γ' = 38.62548328731° = 38°37'29″ = 2.46774621469 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.