Question

1. in a right triangle with a hypotenuse of 13 units and one leg of 12 units, what is the length of the other leg?

a. 3 units
b. 10 units
c. 5 units
d. 6 units

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse, $a,b$ are legs.

Step2: Rearrange to solve for unknown leg

Let unknown leg = $x$. $x^2 = c^2 - a^2$

Step3: Substitute given values

$x^2 = 13^2 - 12^2 = 169 - 144 = 25$

Step4: Calculate square root

$x = \sqrt{25} = 5$

Answer:

c. 5 units