Question

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Explanation:

Step1: Identify the formula

Use the Pythagorean theorem $a^{2}+b^{2}=c^{2}$ for a right - triangle, where $c$ is the hypotenuse and $a$ and $b$ are the other two sides. Here, assume the hypotenuse is 13 cm and one side is 12 cm, and we want to find the other side $c$. Rearranging the formula gives $c=\sqrt{13^{2}-12^{2}}$.

Step2: Calculate the squares

$13^{2}=169$ and $12^{2}=144$.

Step3: Subtract and find the square - root

$13^{2}-12^{2}=169 - 144=25$, and $\sqrt{25}=5$.

Answer:

$5$ cm