# 9 15 17 triangle

### Acute scalene triangle.

Sides: a = 9   b = 15   c = 17

Area: T = 67.36660708369
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 31.89548038856° = 31°53'41″ = 0.55766693421 rad
Angle ∠ B = β = 61.71550959843° = 61°42'54″ = 1.07771316231 rad
Angle ∠ C = γ = 86.39901001302° = 86°23'24″ = 1.50877916884 rad

Height: ha = 14.97702379638
Height: hb = 8.98221427783
Height: hc = 7.92554200985

Median: ma = 15.38766825534
Median: mb = 11.34768057179
Median: mc = 8.98661003778

Inradius: r = 3.28661497969
Circumradius: R = 8.51768986832

Vertex coordinates: A[17; 0] B[0; 0] C[4.26547058824; 7.92554200985]
Centroid: CG[7.08882352941; 2.64218066995]
Coordinates of the circumscribed circle: U[8.5; 0.53662491763]
Coordinates of the inscribed circle: I[5.5; 3.28661497969]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.1055196114° = 148°6'19″ = 0.55766693421 rad
∠ B' = β' = 118.2854904016° = 118°17'6″ = 1.07771316231 rad
∠ C' = γ' = 93.61098998698° = 93°36'36″ = 1.50877916884 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.