# 16 16 30 triangle

### Obtuse isosceles triangle.

Sides: a = 16   b = 16   c = 30

Area: T = 83.51664654425
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 20.36441348063° = 20°21'51″ = 0.35554212017 rad
Angle ∠ B = β = 20.36441348063° = 20°21'51″ = 0.35554212017 rad
Angle ∠ C = γ = 139.2721730387° = 139°16'18″ = 2.43107502502 rad

Height: ha = 10.44395581803
Height: hb = 10.44395581803
Height: hc = 5.56877643628

Median: ma = 22.67215680975
Median: mb = 22.67215680975
Median: mc = 5.56877643628

Inradius: r = 2.69440795304
Circumradius: R = 22.98994786594

Vertex coordinates: A[30; 0] B[0; 0] C[15; 5.56877643628]
Centroid: CG[15; 1.85659214543]
Coordinates of the circumscribed circle: U[15; -17.42217142966]
Coordinates of the inscribed circle: I[15; 2.69440795304]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.6365865194° = 159°38'9″ = 0.35554212017 rad
∠ B' = β' = 159.6365865194° = 159°38'9″ = 0.35554212017 rad
∠ C' = γ' = 40.72882696126° = 40°43'42″ = 2.43107502502 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.