# 8 9 16 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 9   c = 16

Area: T = 22.93333272771
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 18.57333497187° = 18°34'24″ = 0.32441661057 rad
Angle ∠ B = β = 20.99878697385° = 20°59'52″ = 0.36664819628 rad
Angle ∠ C = γ = 140.4298780543° = 140°25'44″ = 2.4510944585 rad

Height: ha = 5.73333318193
Height: hb = 5.09662949505
Height: hc = 2.86766659096

Median: ma = 12.34990890352
Median: mb = 11.82215904175
Median: mc = 2.91554759474

Inradius: r = 1.39898986229
Circumradius: R = 12.55881428512

Vertex coordinates: A[16; 0] B[0; 0] C[7.469875; 2.86766659096]
Centroid: CG[7.82329166667; 0.95655553032]
Coordinates of the circumscribed circle: U[8; -9.68802351145]
Coordinates of the inscribed circle: I[7.5; 1.39898986229]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.4276650281° = 161°25'36″ = 0.32441661057 rad
∠ B' = β' = 159.0022130262° = 159°8″ = 0.36664819628 rad
∠ C' = γ' = 39.57112194572° = 39°34'16″ = 2.4510944585 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.