Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
a = \square meters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $c=100$, $b=60$. Rearrange to solve for $a$:
$a = \sqrt{c^2 - b^2}$

Step2: Substitute known values

$a = \sqrt{100^2 - 60^2}$

Step3: Calculate squared terms

$a = \sqrt{10000 - 3600}$

Step4: Simplify the radicand

$a = \sqrt{6400}$

Step5: Compute the square root

$a = 80$

Answer:

80 meters