Q. 145.0( 1 Vote )

# In a triangle, th

In Δ ABC, AD bisects A and meets BC in D such that BD = DC

Extend AD to E and join C to E such that CE is to AB

Now AB CE and AE is transversal

BAD = CED (alternate interior s)

In Δ AEC

CEA = CAE

AC = CE………………. 1

In Δ ABD and Δ DCE

BAD = CED (alternate interior s)

ADB = CDE (vertically opposite s)

BD = BC (given)

Δ ABD Δ DCE

AB = EC (CPCT)

AC = EC (from 1)

AB = AC

ABC is an isosceles Δ with AB = AC

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
RELATED QUESTIONS :

In the adjoining RD Sharma - Mathematics

State basic propoRD Sharma - Mathematics

In a triangle, thRS Aggarwal - Mathematics

In a ΔABC, it is RS Aggarwal - Mathematics

In a ΔABC it is gRS Aggarwal - Mathematics