The given triangles are similar. Find the length of x. (1 point) Responses x = 20 x = 20 x =15 x =15 x = 2 x = 2 x = 6
To find the length of x, we need to set up a proportion between the corresponding sides of the similar triangles.
Let's denote the length of the sides of the triangles as follows:
Triangle A: Hypotenuse = 12, Short leg = 5
Triangle B: Hypotenuse = 18, Short leg = x
The proportion can be set up as:
5 / 12 = x / 18
Solving this proportion gives:
12x = 90
x = 90 / 12
x = 7.5
Therefore, the length of x is 7.5. So, the closest answer provided is x =15.