Question

is shown below. find th

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values

Substitute $c = 10$ and $a = 6$ into the formula: $b=\sqrt{10^{2}-6^{2}}=\sqrt{100 - 36}=\sqrt{64}$.

Step3: Calculate the square - root

$\sqrt{64}=8$ cm.

Answer:

$8$ cm