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. \\(sqrt{2}:1\\) b. \\(2:1\\) c. \\(1:sqrt{2}\\) d. \\(1:1\\)

Explanation:

Step1: Recall 45-45-90 triangle properties

A 45-45-90 right triangle is an isosceles right triangle, meaning its two legs are equal in length.

Step2: Calculate the ratio

Let the length of each leg be $x$. The ratio of one leg to the other is $\frac{x}{x} = 1$, so the ratio is $1:1$.

Answer:

D. 1:1