QUESTION IMAGE
Question
15 yd.
a
9 yd.
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = yards
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Step1: Apply Pythagorean theorem
For a right triangle, $c^2 = a^2 + b^2$, where $c=15$, $b=9$. Rearrange to solve for $a$:
$a^2 = c^2 - b^2$
Step2: Substitute known values
$a^2 = 15^2 - 9^2 = 225 - 81$
Step3: Calculate the difference
$a^2 = 144$
Step4: Take square root of result
$a = \sqrt{144}$
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