Question

Geometry problem above^^^ In the figure at the right FGH ~ KLJ....

Answer 1

x = 12

y = 4.5

Explanation:

Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:

`(FG)/(KL) = (GH)/(LJ) = (FH)/(KJ)`

`(9)/(y) = (x)/(6) = (6)/(3)`

✔️Let's solve for x using:

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

Multiply both sides by 6

`(x)/(6)*6 = (6)/(3)*6`

`x = (6*6)/(3)`

`x = 12`

✔️Solve for y using:

`(9)/(y) = (6)/(3)`

Cross multiply

`y*6 = 3*9`

6y = 27

y = 27/6

y = 4.5