# 16 16 23 triangle

### Obtuse isosceles triangle.

Sides: a = 16   b = 16   c = 23

Area: T = 127.9299423902
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 44.04986256741° = 44°2'55″ = 0.7698793549 rad
Angle ∠ B = β = 44.04986256741° = 44°2'55″ = 0.7698793549 rad
Angle ∠ C = γ = 91.90327486518° = 91°54'10″ = 1.60440055556 rad

Height: ha = 15.99111779878
Height: hb = 15.99111779878
Height: hc = 11.12442977306

Median: ma = 18.12545689604
Median: mb = 18.12545689604
Median: mc = 11.12442977306

Inradius: r = 4.6521979051
Circumradius: R = 11.50663443194

Vertex coordinates: A[23; 0] B[0; 0] C[11.5; 11.12442977306]
Centroid: CG[11.5; 3.70880992435]
Coordinates of the circumscribed circle: U[11.5; -0.38220465887]
Coordinates of the inscribed circle: I[11.5; 4.6521979051]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.9511374326° = 135°57'5″ = 0.7698793549 rad
∠ B' = β' = 135.9511374326° = 135°57'5″ = 0.7698793549 rad
∠ C' = γ' = 88.09772513482° = 88°5'50″ = 1.60440055556 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.