Question

In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?



11√2 in.

11√11 in.

11√ in.

2√11 in.

Answer 1

I am 70% sure this answer is correct but I believe the answer is 11√2(in)

I know that you would have to square root inches so I know that (2√11) is incorrect. I also know that (11√11) is incorrect (if you chose this, you are missing 8th grade standards).

So the only reasonable answers are (11 √in) and (11 √2in)

My final guess/answer is (11√2in).

Answer 2

The length of the hypotenuse of 45-45-90 triangle when the length of one of the legs is 11 in is 11√2 in.

What is the measure of sides of 45-45-90 triangle?

The 45-45-90 triangle is the traingle in which two angles are equal to 4 degrees and one is a right angle (90 degree).

In this triangle the length of the side of hypontenuse is √2 times the length of the one of the legs of the traingle .

The length of one of the legs is 11 in. in a 45-45-90 triangle. Let suppose the lenght of the hypontenuse side is h.

As the length of the side of hypontenuse is √2 times the length of the one of the legs of the traingle. Thus,

$h=\sqrt{2}\times11\\h=11\sqrt{2}\rm \; in$

Hence, the length of the hypotenuse of 45-45-90 triangle when the length of one of the legs is 11 in is 11√2 in.

Learn more about the 45-45-90 triangle here;

https://brainly.com/question/9161037