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what is the length of the missing leg? if necessary, round to the neare…

Question

what is the length of the missing leg? if necessary, round to the nearest tenth. b = \square yards 65 yd. 32 yd. submit

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c=68$ (hypotenuse), $a=32$, solve for $b$:
$$b^2 = c^2 - a^2$$

Step2: Substitute given values

$$b^2 = 68^2 - 32^2$$
$$b^2 = 4624 - 1024$$
$$b^2 = 3600$$

Step3: Solve for b

$$b = \sqrt{3600}$$
$$b = 60$$

Answer:

60 yards