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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.

Help plzThe area of the triangle shown is represented by Ass14s12s6 where s is equal to half the perimeter What is the height h of the triangle Round your answe class=

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Hrishii

Answer:

h = 0.64 ft

Step-by-step explanation:

[tex]s = \frac{14 + 12 + 6}{2} = \frac{32}{2} = 16 \: ft \\ \\ A = \sqrt{(s - 14)(s - 12)(s - 6)} \\ \\ A = \sqrt{(16 - 14)(16 - 12)(16 - 6)} \\ \\ A = \sqrt{(2)(4)(10)} \\ \\ A = \sqrt{80} \\ \\ A = 8.94427191\\ \\ A \approx 8.94 \: {ft}^{2} [/tex]

A = 14h

8.94427191 = 14h

h = 8.94/14

h = 0.638571429

h = 0.64 ft

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