Math, asked by girishmagare11, 2 months ago

M is the midpoint of side CD of parallelogram ABCD. BM intersect AC and AD product in E. prove that EL= 2BL

Answers

Answered by farhaanaarif84

4

Answer:

In △BMC and △EMD

∠BMC=∠EMD [Vertically opposite]

MC=DM [Given]

∠BCM=∠EDM [Alternate angles]

∴△BMC≅△EMD [By ASA]

Hence, BC=DE [By CPCT] →(1)

AE=AD+DE=BC+BC=2BC →(2)

Now, △BLC∼△ELA (AA Similarly)

EL

BL

=

AE

BC

[By CPCT]

EL

BL

=

2BC

BC

EL

BL

=

2

1

EL=2BL

Previous Question

Next Question

Similar questions

Social Sciences, 1 month ago

What type of problem is inflation in India? A. Internal B. Regional C. National...

Math, 1 month ago

Question: ( English निम्न मारणी का बहुलक हैं वर्ग : 0-6 6-12 12-18 18-24 24-30 आवृत्ति : 8 10 15 56...

English, 1 month ago

write an essay of diwali in 1000 words...

Science, 2 months ago

二 ZEकानून का शासन क्या है ...

Science, 2 months ago

कहते हैं। ख) दो या अधिक विद्युत सेलों के संयोजन को (ग) जब किसी विद्युत हीटर के स्विच को ऑन' करते हैं, तो इसका...

Math, 8 months ago

5+3{-34-16-14}÷3[17+(-3) ×4-2×7) ]...

Math, 8 months ago

. Find the least number that should be subtracted from 99880 to make a perfect square. please please give me answer fast.

Computer Science, 8 months ago

what is secondary memory.give example...