What is the value of x & y?

Question

asked Apr 2, 2021 42.5k views

1 Answer

Tabalin · Answer 1 · 2021-04-08T07:50:47+0000

Answer:

x = 16, y = 9

Explanation:

The 2 triangles are similar by the AA postulate, thus the ratios of corresponding sides are equal, that is

(x)/(24) =
(12)/(18) =
(2)/(3) ( cross- multiply )

3x = 48 ( divide both sides by 3 )

x = 16

----------------------------------------------------

(y)/(6) =
(18)/(12) =
(3)/(2) ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9