Question

What is the value of x & y?

Answer 1

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

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

2y = 18 ( divide both sides by 2 )

y = 9