Question

The following two triangles are similar. Solve for x, making sure to show all your work.

a) x = 4
b) x = 8
c) x = 12
d) x = 16

Answer 1

To solve for x in similar triangles, set up a proportion between corresponding sides. In this case, 4/x = 8/16, which simplifies to x = 8.

This correct answer is b)

Step-by-step explanation:

To solve for x in similar triangles, we can set up a proportion between corresponding sides of the triangles.

Let's say the corresponding sides of the triangles are a/b and c/d. We can set up the proportion as a/b = c/d.

In this case, since we are given that the triangles are similar, we can set up the proportion as 4/x = 8/16.

Cross multiplying, we get 4*16 = 8*x. Solving for x, we get x = 8.

This correct answer is b)