Question

What is the length of each leg in the right triangle shown?

Answer 1

Answer: C

Step-by-step explanation:

This is a 45-45-90 triangle. In a 45-45-90 triangle, the hypotenuse is x√2 in length. The legs are equal to each other. They have the length of x. X is consistent throughout all 3 sides of the triangle. Since we have the hypotenuse, we can set it equal to x√2 to find x that will let us know the length of the legs.

7√2=x√2                             [divide both sides by √2]

x=7

Now that we know the length is x=7, the legs are 7 in length each.