Answer:
85.02 feet
Step-by-step explanation:
In order to solve this we need to use Herons formula to discover the Area of the triangle and then solving the formula of the area to find the height.
Herons formula starts by calculating the semi-perimeter which is half the perimeter of the Triangle:
[tex]s=\frac{a+b+c}{2}\\ s=\frac{127+93+132}{2}\\s=176[/tex]
Now that we knwo that s= 176 we need to use the second part of the formula:
[tex]A=\sqrt{(S-A)(S-B)(S-C)} \\\\A=\sqrt{(176-127)(176-93)(176-132)}\\A=\sqrt{176(49)(83)(44)} \\A=5612.02[/tex]
So the area is 5612.02, with that we just have to solve the equation for area, which is [tex]A=\frac{B*H}{2}[/tex]
So it would be 2A*B=H
H=2*5612.02*132
H=85.03
