Question

Can someone please help!!

Answer 1

AB = 3 and AC = 4

Explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

`(AB)/(WX)` =
`(BC)/(WY)` , substitute values

`(AB)/(30)` =
`(3)/(30)` ( cross- multiply )

30AB = 90 ( divide both sides by 30 )

AB = 3

and

`(AC)/(XY)` =
`(BC)/(WY)` , substitute values

`(AC)/(40)` =
`(3)/(30)` ( cross- multiply )

30AC = 120 ( divide both sides by 30 )

AC = 4

Answer 2

• AB = 3

• AC = 4

Explanation:

• Let AB = x

• Let AC = y

Given

ΔWXY ~ ΔBAC

Therefore, the triangles are similar, so corresponding sides would be in the same ratio, so

WY/ BC = XW/AB

substitute WY = 30, BC = 3, XW = 30, AB = x

30 / 3 = 30 / x

x = [30 × 3] / [30]

x = 90 / 30

x = 3

Thus,

AB = 3

now

WY/ BC = XY/AC

substitute WY = 30, BC = 3, XY = 40, AC = y

30 / 3 = 40 / y

y = [40 × 3] / [30]

y = 120 / 30

y = 4

Thus,

AC = 4

Therefore,

• AB = 3

• AC = 4