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

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of $7\sqrt{2}$.

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

$a^2+a^2=(7\sqrt{2})^{2}$         [combine like terms]

$2a^2=(7\sqrt{2})^2$               [square root both sides]

$a\sqrt{2} =7\sqrt{2}$                 [divide both sides by root 2]

$a=7$

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