Question

I just need to check if the answer I got is right cause I’m not sure. (7th grade)

Answer 1

48 ft.

Explanation:

Since triangles ABC and DEC are similar (you can prove this quite easily), then we know the ratio of the sides are equal. This is a property of similar triangles. So we take the ratio of the sides CE and DE and the ratios of the sidesBC and AB.

We get:

`(x)/(40) = (60)/(50) \Rightarrow x = (6)/(5)* 40 = 48.`

So x is 48 ft.