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73 in. 55 in. b what is the length of the missing leg? if necessary, ro…

Question

73 in. 55 in. b what is the length of the missing leg? if necessary, round to the nearest tenth. b = inches submit work it out

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Here, $a=55$, $c=73$, so rearrange to solve for $b$:
$$b^2 = c^2 - a^2$$

Step2: Substitute known values

$$b^2 = 73^2 - 55^2$$
$$b^2 = 5329 - 3025$$

Step3: Calculate difference and take square root

$$b^2 = 2304$$
$$b = \sqrt{2304}$$

Answer:

48 inches