Question

a right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. what is the length of the other leg?
a. 63
b. 64
c. 65
d. 66

please select the best answer from the choices provided

a
b
c
d

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Rearrange for unknown leg

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

Step3: Substitute given values

$x^2 = 80^2 - 48^2 = 6400 - 2304$

Step4: Calculate and solve for x

$x^2 = 4096$, so $x = \sqrt{4096} = 64$

Answer:

B. 64