Question

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

Answer 1

Answer:

x = 12

y = 4.5

Step-by-step explanation:

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

$\frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ}$

$\frac{9}{y} = \frac{x}{6} = \frac{6}{3}$

✔️Let's solve for x using:

$\frac{x}{6} = \frac{6}{3}$

Multiply both sides by 6

$\frac{x}{6}*6 = \frac{6}{3}*6$

$x = \frac{6*6}{3}$

$x = 12$

✔️Solve for y using:

$\frac{9}{y} = \frac{6}{3}$

Cross multiply

$y*6 = 3*9$

6y = 27

y = 27/6

y = 4.5