Question

70 yd.
a
42 yd.
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = yards

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $c^2 = a^2 + b^2$, where $c=70$, $b=42$. Rearrange to solve for $a$:
$a^2 = c^2 - b^2$

Step2: Substitute known values

$a^2 = 70^2 - 42^2 = 4900 - 1764$

Step3: Calculate the difference

$a^2 = 3136$

Step4: Take square root of result

$a = \sqrt{3136}$

Answer:

56 yards