Question

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Explanation:

Step1: Recall square root of 144

We know that to find \( b \), we need to calculate \( \sqrt{144} \). We remember that \( 12\times12 = 144 \), so \( \sqrt{144}=12 \).

Step2: Confirm with the triangle

In the right - triangle, we used the Pythagorean theorem \( a^{2}+b^{2}=c^{2} \) to get \( b^{2} = 144 \). Taking the square root of both sides gives us the length of \( b \). Since \( 12^{2}=144 \), \( b = 12 \).

Answer:

12