# 11 13 16 triangle

### Acute scalene triangle.

Sides: a = 11   b = 13   c = 16

Area: T = 70.99329573972
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 43.04990798002° = 43°2'57″ = 0.75113481825 rad
Angle ∠ B = β = 53.77884533802° = 53°46'42″ = 0.93986110781 rad
Angle ∠ C = γ = 83.17224668196° = 83°10'21″ = 1.4521633393 rad

Height: ha = 12.90878104359
Height: hb = 10.92219934457
Height: hc = 8.87441196746

Median: ma = 13.5
Median: mb = 12.09333866224
Median: mc = 9

Inradius: r = 3.55496478699
Circumradius: R = 8.05771372284

Vertex coordinates: A[16; 0] B[0; 0] C[6.5; 8.87441196746]
Centroid: CG[7.5; 2.95880398915]
Coordinates of the circumscribed circle: U[8; 0.95878414887]
Coordinates of the inscribed circle: I[7; 3.55496478699]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.95109202° = 136°57'3″ = 0.75113481825 rad
∠ B' = β' = 126.222154662° = 126°13'18″ = 0.93986110781 rad
∠ C' = γ' = 96.82875331804° = 96°49'39″ = 1.4521633393 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.