Question

55 in.
44 in.
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = inches
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Explanation:

Step1: Apply Pythagorean theorem

Let the hypotenuse $c=55$ in, known leg $b=44$ in. The theorem is $a^2 + b^2 = c^2$, so rearrange to solve for $a$:
$a^2 = c^2 - b^2$

Step2: Substitute values into formula

$a^2 = 55^2 - 44^2$
$a^2 = 3025 - 1936$
$a^2 = 1089$

Step3: Calculate square root of result

$a = \sqrt{1089}$

Answer:

33 inches