Q. 34.4( 33 Votes )
In the given figure, DE||AC and DF||AE Prove that 

Answer :
Given, DE || AC and DF || AE
Need to prove
⇒ In ABC, DE || AC
⇒ now, we know line drawn parallel to one side of triangle, intersects the other two sides in distinct points, then it divides the other 2 side in same ratio.
⇒ ………eq(1)
⇒ In AEB, DF || AE
⇒ ………eq(2)
From (1) and (2)
⇒
Hence proved.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Applications of Basic Proportionality Theorem24 mins
Basic Proportionality Theorem44 mins
Basic Proportionality Theorem34 mins
Basics of Similarity of Triangles39 mins
Basic Proportionality Theorem42 mins
NCERT | Strong Your Basics of Triangles39 mins
RD Sharma | Imp. Qs From Triangles41 mins
A Peep into Pythagoras Theorem43 mins
Predominant Proof of Triangles52 mins
Quiz | Criterion of Similarity of Triangle45 mins




















Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
In the given figure, DE||AC and DF||AE Prove that
ABCD is a trapezium in which AB||DC and its diagonals intersect each other at point ‘O’. Show that
In Δ PQR, ST is a line such that and also ∠PST = ∠PRQ. Prove that ΔPQR, is an isosceles triangle.
In the adjacent figure, A, B, and C are points on OP, OQ and Or respectively such that AB||PQ and AC||PR. Show that BC||QR.