Question
The vertex of is joined to point on the side . The midpoint of is . Prove that .
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Text solutionVerified
From the given figure we know that is the median of
So we get
Area of = Area of
It can be written as
Area of ( Area of ).....(1)
From the figure we know that is the median of
So we get
Area of = Area of
It can be written as
Area of ( Area of )......(2)
By adding both the equations
Area of + Area of (Area of ( Area of )
By taking as common
Area of ( Area of + Area of
So we get
Area of ( Area of )
Therefore, it is proved that .
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Question Text | The vertex of is joined to point on the side . The midpoint of is . Prove that . |
Answer Type | Text solution:1 |
Upvotes | 150 |