Question

question 12 of 25
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. $sqrt{2}:1$
c. 1:$sqrt{2}$
d. 1:1

Explanation:

Step1: Recall properties of 45 - 45 - 90 triangle

In a 45 - 45 - 90 right - triangle, the two legs are congruent.

Step2: Calculate the ratio

Let the length of one leg be $a$ and the length of the other leg be $b$. Since $a = b$, the ratio $\frac{a}{b}=\frac{1}{1}$.

Answer:

D. 1:1