# 9 11 16 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 11   c = 16

Area: T = 47.62435235992
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 32.76437577589° = 32°45'50″ = 0.57218354482 rad
Angle ∠ B = β = 41.41096221093° = 41°24'35″ = 0.72327342478 rad
Angle ∠ C = γ = 105.8276620132° = 105°49'36″ = 1.84770229576 rad

Height: ha = 10.58330052443
Height: hb = 8.65988224726
Height: hc = 5.95329404499

Median: ma = 12.97111217711
Median: mb = 11.75879760163
Median: mc = 6.08327625303

Inradius: r = 2.64657513111
Circumradius: R = 8.31552184062

Vertex coordinates: A[16; 0] B[0; 0] C[6.75; 5.95329404499]
Centroid: CG[7.58333333333; 1.98443134833]
Coordinates of the circumscribed circle: U[8; -2.26877868381]
Coordinates of the inscribed circle: I[7; 2.64657513111]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.2366242241° = 147°14'10″ = 0.57218354482 rad
∠ B' = β' = 138.5990377891° = 138°35'25″ = 0.72327342478 rad
∠ C' = γ' = 74.17333798681° = 74°10'24″ = 1.84770229576 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.