D is the mid point on AC of triangle ABC such that AD is equall to DC which is 2:3. E is the mid point on BC then find the ratio of triangle ABC to that of triangle DEC.
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D is any point on AC in ABC. Now, P,Q,X,Y are the mid points of AB, BC, AD and DC respectively. Show that PX = QY.
December 27, 2019avatar
Savneet Tikhade
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In △ABC,P and Q are mid points of AB and BC respectively.
So, PQ∣∣AC and PQ=
2
1
AC ..................(1) (Mid point theorem)
Similarly, X and Y are mid points of sides CD and AD respectively.
we get
PQ∣∣XY and PQ=XY
Hence, PQXY is a parallelogram .... (pair of opposite sides is parallel and equal)
Now, XY∣∣AC and QY∣∣BD
And diagonals in PQXY are equal
Then PX=QY
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pq l l xy
pq= xy
hopefully it help you mark me BRAINLIEST
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