Question

in a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?
a. 2:1
b. 1:1
c. 1:√2
d. √2:1

Explanation:

Step1: Recall triangle properties

A 45 - 45 - 90 right - triangle is an isosceles right - triangle.

Step2: Determine leg ratio

In an isosceles right - triangle, the two legs are of equal length. So the ratio of the length of one leg to the length of the other leg is $\frac{a}{a}=1:1$ (where $a$ is the length of each leg).

Answer:

B. 1:1