Question

e f ? 10 ft 8 ft g f = _

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, if the hypotenuse is $c$ and the two legs are $a$ and $b$, then $c^{2}=a^{2}+b^{2}$. Here, let $EF = a$, $FG = b = 8$ ft and $EG=c = 10$ ft. We want to find $a$, so $a=\sqrt{c^{2}-b^{2}}$.

Step2: Substitute values

Substitute $c = 10$ and $b = 8$ into the formula: $a=\sqrt{10^{2}-8^{2}}=\sqrt{100 - 64}=\sqrt{36}$.

Step3: Calculate the square - root

$\sqrt{36}=6$

Answer:

$6$ ft