# 16 28 28 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 28   c = 28

Area: T = 214.663252584
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 33.2033099198° = 33°12'11″ = 0.58795034029 rad
Angle ∠ B = β = 73.3988450401° = 73°23'54″ = 1.28110446254 rad
Angle ∠ C = γ = 73.3988450401° = 73°23'54″ = 1.28110446254 rad

Height: ha = 26.833281573
Height: hb = 15.333303756
Height: hc = 15.333303756

Median: ma = 26.833281573
Median: mb = 18
Median: mc = 18

Inradius: r = 5.963284794
Circumradius: R = 14.6098977453

Vertex coordinates: A[28; 0] B[0; 0] C[4.57114285714; 15.333303756]
Centroid: CG[10.85771428571; 5.111101252]
Coordinates of the circumscribed circle: U[14; 4.1743993558]
Coordinates of the inscribed circle: I[8; 5.963284794]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.7976900802° = 146°47'49″ = 0.58795034029 rad
∠ B' = β' = 106.6021549599° = 106°36'6″ = 1.28110446254 rad
∠ C' = γ' = 106.6021549599° = 106°36'6″ = 1.28110446254 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.