Question

use special right triangle ratios to find the lengths of the other leg and the hypotenuse

a. leg 11, hypotenuse ( 11sqrt{3} )
b. leg ( 11sqrt{2} ), hypotenuse 22
c. leg 11, hypotenuse ( 11sqrt{2} )
d. leg ( 11sqrt{3} ), hypotenuse 22

Explanation:

Step1: Identify triangle type

It is a 45-45-90 right triangle (isosceles right triangle), so legs are equal.

Step2: Find other leg

Given one leg = 11, so other leg = 11.

Step3: Calculate hypotenuse

Hypotenuse = leg × $\sqrt{2}$ = 11×$\sqrt{2}$.

Answer:

C. Leg 11, hypotenuse $11\sqrt{2}$