Question

In the figure, ΔABC ~ ΔDEF. Solve for x.

Answer 1

`x=5`

Explanation:

It is given that ΔABC is similar to ΔDEF, thus using the similarity postulate, we have

`(CB)/(EF)=(AB)/(ED)`

⇒
`(24)/(6)=(20)/(x)`

On Cross multiplying, we get

⇒
`x=\frac{20{*}6}{24}`

⇒
`x=(20)/(4)`

⇒
`x=5`

Thus, the value of x will be 5.