Question

If the given triangles are similar, the values of x and y are

Answer 1

x = 20, y = 6

Explanation:

Δ ACB and Δ DCE are similar, so the ratios of corresponding sides are equal, that is

`(AB)/(DE)` =
`(AC)/(DC)` , substitute values

`(x)/(12)` =
`(25)/(15)` ( cross- multiply )

15x = 300 ( divide both sides by 15 )

x = 20

and

`(CE)/(CB)` =
`(DC)/(AC)` , substitute values

`(y)/(10)` =
`(15)/(25)` ( cross- multiply )

25y = 150 ( divide both sides by 25 )

y = 6