Question

Help plz

The area of the triangle shown is represented by √A=s(s−14)(s−12)(s−6), where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.

Answer 1

h = 0.64 ft

Explanation:

`s = (14 + 12 + 6)/(2) = (32)/(2) = 16 \: ft \\ \\ A = √((s - 14)(s - 12)(s - 6)) \\ \\ A = √((16 - 14)(16 - 12)(16 - 6)) \\ \\ A = √((2)(4)(10)) \\ \\ A = √(80) \\ \\ A = 8.94427191\\ \\ A \approx 8.94 \: {ft}^(2)`

A = 14h

8.94427191 = 14h

h = 8.94/14

h = 0.638571429

h = 0.64 ft