# 11 16 16 triangle

### Acute isosceles triangle.

Sides: a = 11   b = 16   c = 16

Area: T = 82.63773856072
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 40.21110195758° = 40°12'40″ = 0.70218146872 rad
Angle ∠ B = β = 69.89444902121° = 69°53'40″ = 1.22198889832 rad
Angle ∠ C = γ = 69.89444902121° = 69°53'40″ = 1.22198889832 rad

Height: ha = 15.02549792013
Height: hb = 10.33296732009
Height: hc = 10.33296732009

Median: ma = 15.02549792013
Median: mb = 11.15879568022
Median: mc = 11.15879568022

Inradius: r = 3.84435993306
Circumradius: R = 8.51991465682

Vertex coordinates: A[16; 0] B[0; 0] C[3.781125; 10.33296732009]
Centroid: CG[6.594375; 3.44332244003]
Coordinates of the circumscribed circle: U[8; 2.92884566328]
Coordinates of the inscribed circle: I[5.5; 3.84435993306]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.7898980424° = 139°47'20″ = 0.70218146872 rad
∠ B' = β' = 110.1065509788° = 110°6'20″ = 1.22198889832 rad
∠ C' = γ' = 110.1065509788° = 110°6'20″ = 1.22198889832 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.