Question

AABC - ADEF

Find the value of x

Answer 1

4

Explanation:

ΔABC ~ ΔDEF

AB/DE = BC/EF

x/3 = 8/6

Cross multiply.

6 × x = 3 × 8

6x = 24

Divide both sides by 6.

(6x)/6 = 24/6

x = 4

Answer 2

`\boxed{x = 4}`

Explanation:

If ΔABC ~ ΔDEF

Then their sides must be proportional such that:

=>
`(x)/(3) = (8)/(6)`

Cross Multiplying

=> x * 6 = 8*3

=> 6x = 24

Dividing both sides by 6

=> x = 4