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Question -

In the given figure, M, N and P are the mid-points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm, calculate BC, AB and AC.



Answer -

We have   as follows:
 
M, N and P are the mid-points of sides AB ,AC and BC respectively.
Also,  ,   and  
We need to calculate BC, AB and AC.
In  , M and N are the mid-points of AB and AC respectively.
Theorem states, the line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.
Therefore,
 
Similarly,
And
 
Hence, the measure for BC, AB and AC is  ,   and   respectively.

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