# 9 10 17 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 10   c = 17

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

Angle ∠ A = α = 25.05876154183° = 25°3'27″ = 0.43773378917 rad
Angle ∠ B = β = 28.07224869359° = 28°4'21″ = 0.49899573263 rad
Angle ∠ C = γ = 126.8769897646° = 126°52'12″ = 2.21442974356 rad

Height: ha = 8
Height: hb = 7.2
Height: hc = 4.23552941176

Median: ma = 13.22003787824
Median: mb = 12.64991106407
Median: mc = 4.27220018727

Inradius: r = 2
Circumradius: R = 10.625

Vertex coordinates: A[17; 0] B[0; 0] C[7.94111764706; 4.23552941176]
Centroid: CG[8.31437254902; 1.41217647059]
Coordinates of the circumscribed circle: U[8.5; -6.375]
Coordinates of the inscribed circle: I[8; 2]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.9422384582° = 154°56'33″ = 0.43773378917 rad
∠ B' = β' = 151.9287513064° = 151°55'39″ = 0.49899573263 rad
∠ C' = γ' = 53.13301023542° = 53°7'48″ = 2.21442974356 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.