Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=74$, $a=70$. Rearrange to solve for $b$:
$b = \sqrt{c^2 - a^2}$

Step2: Substitute given values

$b = \sqrt{74^2 - 70^2}$

Step3: Calculate squares

$74^2 = 5476$, $70^2 = 4900$
$b = \sqrt{5476 - 4900}$

Step4: Compute difference and square root

$b = \sqrt{576} = 24$

Answer:

24 yards