Question
Show that the diagonals of a parallelogram divide it into four triangles of equal area.
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Text solutionVerified
Solution: P is mid point of AC and BD
AP=PC
PB=DP
AP=PC
PB=PD
AB=DC
area of =area of
P is mid point of AC
DP is median of
so we can say that
area of =area of .
AP=PC
PB=DP
AP=PC
PB=PD
AB=DC
area of =area of
P is mid point of AC
DP is median of
so we can say that
area of =area of .
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Question Text | Show that the diagonals of a parallelogram divide it into four triangles of equal area. |
Answer Type | Text solution:1 |
Upvotes | 150 |