Q. 104.5( 4 Votes )

XY is drawn parallel to the base BC of cutting AB at X and AC at Y. If AB = 4 BX and YC = 2 cm, then AY =
A. 2 cm

B. 4 cm

C. 6 cm

D. 8 cm.

Answer :

Given XY is drawn parallel to the base BC of a ΔABC cutting AB at X and AC at Y. AB = 4BX and YC = 2 cm.



In ΔAXY and ΔABC,


AXY = ABC [corresponding angles]


AYX = ACB [corresponding angles]


A = A [common angle]


We know that AAA similarity criterion states that in two triangles, if corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.


ΔAXY ~ ΔABC


Let BX = x, so AB = 4x and AX = 3x.


We know that two triangles are similar if their corresponding sides are proportional.




AY = 6 cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Basic Proportionality Theorem42 mins
Champ Quiz | Thales Theorem49 mins
NCERT | Strong Your Basics of Triangles39 mins
RD Sharma | Imp. Qs From Triangles41 mins
R.D Sharma | Solve Exercise -4.2 and 4.3FREE Class
Quiz | Criterion of Similarity of Triangle45 mins
How to Ace Maths in NTSE 2020?36 mins
R.D Sharma | Solve Exercise-4.545 mins
NCERT | Basic Proportionality Theorem22 mins
RD Sharma | Imp Qs Discussion- Triangles43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses