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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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Answer» Answer: MATHS 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 SHARE ANSWER 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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