# 16 16 27 triangle

### Obtuse isosceles triangle.

Sides: a = 16   b = 16   c = 27

Area: T = 115.9355057252
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 32.46217449672° = 32°27'42″ = 0.56765643306 rad
Angle ∠ B = β = 32.46217449672° = 32°27'42″ = 0.56765643306 rad
Angle ∠ C = γ = 115.0776510066° = 115°4'35″ = 2.00884639923 rad

Height: ha = 14.49218821565
Height: hb = 14.49218821565
Height: hc = 8.58877820187

Median: ma = 20.77002415445
Median: mb = 20.77002415445
Median: mc = 8.58877820187

Inradius: r = 3.93300019407
Circumradius: R = 14.90548962493

Vertex coordinates: A[27; 0] B[0; 0] C[13.5; 8.58877820187]
Centroid: CG[13.5; 2.86325940062]
Coordinates of the circumscribed circle: U[13.5; -6.31771142307]
Coordinates of the inscribed circle: I[13.5; 3.93300019407]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.5388255033° = 147°32'18″ = 0.56765643306 rad
∠ B' = β' = 147.5388255033° = 147°32'18″ = 0.56765643306 rad
∠ C' = γ' = 64.92334899345° = 64°55'25″ = 2.00884639923 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.