Question

The area of the triangle shown is represented by A= 5(8-9) (s - 8) (8 - 5). where s is equal to half the perimeter. What is the height h of the

triangle? Round your answer to the nearest hundredth.
8 ft
h
5 ft
9 ft
Please help

Answer 1

4.42 ft to nearest hundredth.

Explanation:

The semi-perimeter s = (8+9+5)/2 = 11.

So the area = √[s(s-a)(s-b(s-c)]

= √[11(11-9)(11-8)(11-5)]

= √396

= 19.8997 ft^2.

Area = 1/2 base * height

So 19.8997 = 1/2 * 9 * h

y = 19.8997 / (1/2 * 9)

= 4.42 ft to nearest hundredth.