Question

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Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$. Here, let the hypotenuse be $10$ cm and one side be $6$ cm. We want to find the other side $c$. So, $c=\sqrt{10^{2}-6^{2}}$.

Step2: Calculate the values

First, calculate $10^{2}=100$ and $6^{2}=36$. Then $10^{2}-6^{2}=100 - 36=64$. So, $c=\sqrt{64}$.

Step3: Find the square - root

Since $\sqrt{64}=8$, the length of side $c$ is $8$ cm.

Answer:

$8$ cm