Question

7 ft.
5 ft.
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = \boxed{} feet
submit

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c=7$, $b=5$

Step2: Rearrange to solve for $a$

$a = \sqrt{c^2 - b^2}$

Step3: Substitute values and calculate

$a = \sqrt{7^2 - 5^2} = \sqrt{49 - 25} = \sqrt{24}$

Step4: Compute and round to tenth

$\sqrt{24} \approx 4.9$

Answer:

4.9 feet