Math, asked by Hulk1234, 1 year ago

In a triangle ABC ; M is the mid point of AB , N is the mid point of AC and D is any point in base BC . Use intercept theorem to show that MN bisects AD.

Answers

Answered by myselfyiri
33
Hey,,
In triangle ABC
M is the mid point of AB
N is the mid point of AC
So, MN//BC and MN=1/2BC(mid point theorem).
Now,
since M is the mid point of AB
MG//BD( since MG is a part of MN and BD is also a part of BC)
So, G is also the mid point of AD. (converse of mid point theorem).
Therefore, MN bisects AD.
Hence, proved.
Hope this helps you!!

nikita78: Ya thm on equal intercept us to be used
ChinkiYadav: hmm
Hulk1234: thank you
Hulk1234: but we have to show by intercept theorem
myselfyiri: it's actually not necessary trust me, I had also got such a question but I answered like this n it was correct. You yourself try to apply intercept theorem but it can't be done.
Answered by misrakirti107
15

Answer:

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