# 9 11 17 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 11   c = 17

Area: T = 44.46655765733
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 28.39663170018° = 28°23'47″ = 0.49656092271 rad
Angle ∠ B = β = 35.53884645156° = 35°32'18″ = 0.62202632169 rad
Angle ∠ C = γ = 116.0655218483° = 116°3'55″ = 2.02657202096 rad

Height: ha = 9.88112392385
Height: hb = 8.08546502861
Height: hc = 5.23112443027

Median: ma = 13.59222772191
Median: mb = 12.44398553046
Median: mc = 5.36219026474

Inradius: r = 2.40435446796
Circumradius: R = 9.46223758967

Vertex coordinates: A[17; 0] B[0; 0] C[7.32435294118; 5.23112443027]
Centroid: CG[8.10878431373; 1.74437481009]
Coordinates of the circumscribed circle: U[8.5; -4.15877106213]
Coordinates of the inscribed circle: I[7.5; 2.40435446796]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.6043682998° = 151°36'13″ = 0.49656092271 rad
∠ B' = β' = 144.4621535484° = 144°27'42″ = 0.62202632169 rad
∠ C' = γ' = 63.93547815174° = 63°56'5″ = 2.02657202096 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.