Question

Can someone please help!!

Answer 1

Answer:

• AB = 3

• AC = 4

Step-by-step 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

Answer 2

Answer:

AB = 3 and AC = 4

Step-by-step explanation:

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

$\frac{AB}{WX}$ = $\frac{BC}{WY}$ , substitute values

$\frac{AB}{30}$ = $\frac{3}{30}$ ( cross- multiply )

30AB = 90 ( divide both sides by 30 )

AB = 3

and

$\frac{AC}{XY}$ = $\frac{BC}{WY}$ , substitute values

$\frac{AC}{40}$ = $\frac{3}{30}$ ( cross- multiply )

30AC = 120 ( divide both sides by 30 )

AC = 4