Question

16 D is the mid-point of side BC of a 1 ABC. AD is bisected at the point E and BE produced
cuts AC at the point X. Prove that BE: EX = 3:1
uced at​

Answer 1

Answer:

Construct → Drawn DY parallel to BX

To prove →

EX

BE

=3

Proof :- In ΔADY using midpoint theorem

EX=

2

DY

also in ΔBCX using midpoint theorem

DY=

2

BX

∴EX=

4

BX

or, 4EX=BX

4EX=BE+EX

3EX=BE

EX

BE

=3

Proved