Question

8. In the given figure, XY 8C find the length of YC
AX=1cm XB=4cm, AY-Ocm​

Answer 1

Answer:

Given

XY

∣∣

BC

In △AXY and △ABC,

∠XAY=∠BAC ....... [Same vertex]

∠AXY=∠ABC and ∠AYX=∠ACB ...... [∵XY∥BC]

∴△AXY∼△ABC ........ [By AAA criterion]

∴

AB

AX

=

BC

XY

.........(i) (Corresponding sides of similar triangle are proportional)

Now, AB=AX+XB=1+3=4

⟹AB=4

∴

4

1

=

6

XY

........ From (i)

∴XY=

4

6

∴XY=1.5cm

Hence, the answer is 1.5 cm.