Question

In the given figure XY ║ BC. Find the length of YC.



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Answer 1

Answer:

12cm

Step-by-step explanation:

∠BAC=∠BAC(common)

∠AXY=∠ABC(Corresponding angles)

∴By AA congruency rule; ΔABC ~ ΔAXY

   AX/AB = AY/AC (By Basic Proportionality theorem)

=>1/(1+4) = 3/AC

=>1/5=3/AC

=>AC=15cm

   YC=AC-AY

=>YC=15-3

=>YC=12cm

Basic Proportionality Theorem:-

If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Hope ot Helps :)

Answer 2

Answer:

AX/XB = AY/YC

1/4 = 3/YC

>YC = 12cm

hope it helps you :)