Question

ok i have 2 problems and id appreciate it if someone can help :)
1. given hexagon ABCDEF with diagonal AC being 2 calculate the area and perimeter of the hexagon.

2. the perimeter of an equilateral triangle is equal to its area. find the side length

Answer 1

Draw line BF, perpendicular to AC
/_GAC = 30º and /_ABG = 30º
AG = GC = 1
AB=1/cos30º=2/sqrt3 BC = CD = DE = EF = FA
BG = ABsin30º = 1/sqrt3
Perimeter P = 6AB
Area = (2)/sqrt3 + 2(2)/sqrt3

Answer 2

meen