Question

use the pythagorean theorem practice
complete this assessment to review what youve learned. it will not count toward your grade.
if a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other
leg? round to the nearest tenth. (1 point)
ft.
check answer remaining attempts 3

Explanation:

Step1: Write the Pythagorean theorem formula

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs of the right - triangle. Let \(a = 6\) (one leg), \(c=12\) (hypotenuse), and we need to find \(b\).

Step2: Rearrange the formula to solve for \(b\)

$$
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$$

Step3: Find the value of \(b\)

\(b=\sqrt{108}\approx10.4\) (rounded to the nearest tenth)

Answer:

\(10.4\)