# 11 12 16 triangle

### Acute scalene triangle.

Sides: a = 11   b = 12   c = 16

Area: T = 65.96216365776
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 43.40110149198° = 43°24'4″ = 0.75774906091 rad
Angle ∠ B = β = 48.55326288331° = 48°33'9″ = 0.84774032336 rad
Angle ∠ C = γ = 88.04663562471° = 88°2'47″ = 1.53766988109 rad

Height: ha = 11.99330248323
Height: hb = 10.99436060963
Height: hc = 8.24552045722

Median: ma = 13.02988142208
Median: mb = 12.34990890352
Median: mc = 8.27664726786

Inradius: r = 3.38326480296
Circumradius: R = 8.00546528163

Vertex coordinates: A[16; 0] B[0; 0] C[7.281125; 8.24552045722]
Centroid: CG[7.76604166667; 2.74884015241]
Coordinates of the circumscribed circle: U[8; 0.27328858915]
Coordinates of the inscribed circle: I[7.5; 3.38326480296]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.599898508° = 136°35'56″ = 0.75774906091 rad
∠ B' = β' = 131.4477371167° = 131°26'51″ = 0.84774032336 rad
∠ C' = γ' = 91.95436437529° = 91°57'13″ = 1.53766988109 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.