Question

Question

If a 45°-45°-90° triangle has a hypotenuse length of 72, what is the length of each leg of the triangle?
Select the correct answer.
O 7V2
O 7
O V2
O 2

Answer 1

Answer: B

Explanation:

We are given that a 45-45-90 triangle has a hypotenuse of
`7√(2)`.

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

`a^2+a^2=(7√(2))^(2)` [combine like terms]

`2a^2=(7√(2))^2` [square root both sides]

`a√(2) =7√(2)` [divide both sides by root 2]

`a=7`

Now, we know that a leg is length 7, which is B.