# 6 11 16 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 11   c = 16

Area: T = 21.82774483163
Perimeter: p = 33
Semiperimeter: s = 16.5

Angle ∠ A = α = 14.36215115629° = 14°21'41″ = 0.25106556623 rad
Angle ∠ B = β = 27.04881105464° = 27°2'53″ = 0.47220785855 rad
Angle ∠ C = γ = 138.5990377891° = 138°35'25″ = 2.41988584058 rad

Height: ha = 7.27658161054
Height: hb = 3.96986269666
Height: hc = 2.72884310395

Median: ma = 13.3987761007
Median: mb = 10.75987173957
Median: mc = 3.80878865529

Inradius: r = 1.32328756555
Circumradius: R = 12.09548631363

Vertex coordinates: A[16; 0] B[0; 0] C[5.344375; 2.72884310395]
Centroid: CG[7.11545833333; 0.90994770132]
Coordinates of the circumscribed circle: U[8; -9.07111473522]
Coordinates of the inscribed circle: I[5.5; 1.32328756555]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.6388488437° = 165°38'19″ = 0.25106556623 rad
∠ B' = β' = 152.9521889454° = 152°57'7″ = 0.47220785855 rad
∠ C' = γ' = 41.41096221093° = 41°24'35″ = 2.41988584058 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.