Question

use the pythagorean theorem to find the missing leg of the triangle below. show your work here hint: to add the square root symbol (√□), type
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Explanation:

Step1: Write the Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 12\), \(c = 15\), and \(b\) be the missing leg.

Step2: Substitute values into the formula

$$12^{2}+b^{2}=15^{2}$$
$$144 + b^{2}=225$$

Step3: Solve for \(b^{2}\)

$$b^{2}=225 - 144$$
$$b^{2}=81$$

Step4: Find \(b\)

$$b=\sqrt{81}$$
$$b = 9$$

Answer:

\(9\)