Determine the value of x. An image of a 45–45–90 triangle. The hypotenuse is labeled x, and the short leg is labeled 8. Question 3 options: A) 4 B) 8√(3) C) 8 D) 8√(2)

Question

Determine the value of x.

An image of a 45–45–90 triangle. The hypotenuse is labeled x, and the short leg is labeled 8.


Question 3 options:


A) 4



B)
`8√(3)`



C) 8



D)
`8√(2)`

Answer 1

Answer: The correct answer is D.

Step-by-step explanation:The value of x can be found by using the properties of a 45–45–90 triangle. A 45–45–90 triangle is a special right triangle where the two acute angles are both 45 degrees and the ratio of the sides is 1:1:√2. This means that the hypotenuse is √2 times the length of the short leg. Therefore, if the short leg is 8, then the hypotenuse is 8√2.