Question

The area of the triangle shown is represented by A=s(s−14)(s−12)(s−6)−−−−−−−−−−−−−−−−−−−−√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=5.11ft`

Explanation:

`S=12+6+14/2=16`

`area ~A= √(s(s-14)(5-12)(5-6))`

`area=√(16(16-14)(16-12)(16-6))`

`A=√(16×2×4×10)`

`A=35.70`

`A=1/2× base~×height`

`35.70=1/2×14×h`

`h=2×35.75/14`

`h=5.11ft`

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