Question

find the length of side c in the right triangle with legs 4cm and 3cm.

Explanation:

Step1: Identify Pythagorean theorem

For right triangles, $a^2 + b^2 = c^2$, where $a=3$, $b=4$.

Step2: Substitute values into formula

$3^2 + 4^2 = c^2$
$\implies 9 + 16 = c^2$
$\implies 25 = c^2$

Step3: Solve for c

$c = \sqrt{25}$

Answer:

$5$ cm