Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $c=9.3$, $b=6.4$. Rearrange to solve for $a$:
$a = \sqrt{c^2 - b^2}$

Step2: Calculate squared values

$c^2 = 9.3^2 = 86.49$, $b^2 = 6.4^2 = 40.96$

Step3: Subtract squared values

$86.49 - 40.96 = 45.53$

Step4: Take square root and round

$a = \sqrt{45.53} \approx 6.7$

Answer:

6.7 miles