Our goal is to find the area area=1/2 times base times height we know the height is 7.9 but what is the base?
use the pythagorean theorem twice alrighty so remember for legs length a and b and hytponuse c in a right triangle a²+b²=c²
we need AD and DC
so AD²+7.9²=9.4² AD=√25.95
DC²+7.9²=23.2² DC=√475.83
so AD+DC=base=(√25.95)+(√475.83) area=1/2bh area=1/2((√25.95)+(√475.83))(7.9) area≈106.28518654591426812803776879893 round to 2 decimal places area≈106.29 square units
