Question

BM is the meridian of ∆BCD . choose the false statement from the following a) M is the mid point of CD b) ar (∆BCM) = ar(∆BDM) c) ar (∆BCM) < ar (∆BDM) d) ar(∆BCM) < ar (∆BCD)​

Answer 1

Step-by-step explanation:

c is your answer for the question

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Answer 2

Given : BM is the median of ∆BCD

To Find : choose the false statement from the following

a) M is the mid point of CD

b) ar (∆BCM) = ar(∆BDM)

c) ar (∆BCM) < ar (∆BDM)

d) ar(∆BCM) < ar (∆BCD)​

Solution:

BM is the median of ∆BCD

Hence M is the mid point of CD

M is the mid point of CD   - TRUE

Median Divided triangle in two Equal area triangle

Hence  ar (∆BCM) = ar(∆BDM)   TRUE

ar (∆BCM) < ar (∆BDM)   FALSE   as    ar (∆BCM) = ar(∆BDM)

ar (∆BCM) +  ar(∆BDM)  = ar (∆BCD)​

=> 2ar (∆BCM)  = ar (∆BCD)​

=> ar (∆BCM)  = ar (∆BCD)​/2

=> ar (∆BCM) < ar (∆BCD)    TRUE

Hence ar (∆BCM) < ar (∆BDM)   FALSE

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