Question

what is the perimeter of a right triangle if the hypotenuse is 15 cm and one of the legs is 9 cm? 39 cm 41 cm 36 cm

Explanation:

Step1: Find missing leg via Pythagoras

Let the missing leg be $x$. For a right triangle, $a^2 + b^2 = c^2$, so $x^2 + 9^2 = 15^2$.
$x^2 = 15^2 - 9^2 = 225 - 81 = 144$
$x = \sqrt{144} = 12$

Step2: Calculate total perimeter

Add all sides: $9 + 12 + 15$

Answer:

36 cm