Question

e 15cm 9cm

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, if the hypotenuse is $c$ and the two legs are $a$ and $b$, then $c^{2}=a^{2}+b^{2}$. Here, the hypotenuse is $15$ cm, one leg is $9$ cm, and we want to find the other leg $e$. So, $e^{2}=15^{2}-9^{2}$.

Step2: Calculate the squares

$15^{2}=15\times15 = 225$ and $9^{2}=9\times9 = 81$. Then $e^{2}=225 - 81$.

Step3: Subtract

$225-81 = 144$. So, $e^{2}=144$.

Step4: Find the square - root

Since $e>0$ (as it represents a length), $e=\sqrt{144}=12$ cm.

Answer:

$12$ cm