What is the area of ABC below? If necessary, round your answer to two decimal places.

Mathematics

1 answer:

irina [24]2 years ago

6 0

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

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