It says regular polygon.
Do you know what shape that is?
regular polygon means all of its sides are equal.
What shape do you think of when a triangle has all of its sides equal?
Thank you for correcting me guest!
Anyways, can you now divide the equilateral triangle into halves with each half as a 30-60-90 triangle? I recommend you draw it out!
A regular polygon has all sides the same......so.....this is an equilateral triangle
The area =
(1/2) (16) (16)√3 /2
(√3/4) * 16^2 =
(√3) ( 64) ≈
AELN suggests a good method
If you draw it out......we will have a side = 8 opposite the 30° angle
The altitude will be opposite the 60° angle = 8√3
So......the area =
(1/2) base (height) =
(1/2) (16) ( 8√3) =