brain barbell solution
These 6 triangles are the same (congruent). Each one must have
an area of 1 square meter.
The angles in the middle add up to 360º, so this angle here must
Each internal angle is 120º—and we know the triangle is
ISOSCELES because the side lengths are both equal to the
circumradius of the polygon, so the other angles must both be
120º/2 = 60º.
Each 1 sq meter triangle is EQUILATERAL.
So we can use the equilateral triangle area formula!
The total area of the hot tub is 6 square meters. Use what
you know about the hexagon hot tub angles to find the length
of each side of the hot tub.
2.31 = t
1.52m = t
Length of each side.
t is side length.
An isosceles tr
ee 60º angles is
ea of each
triangle is the t
olygon area divided
by the number of
Use a ca
316 Chapter 7