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.
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Answered by
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!!
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
Answered by
15
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