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Area of a Parallelogram

If through th...

Question

If through the angular points of a triangle, straight lines be drawn parallel to the sides, and if the intersections of these lines be joined to the opposite angular points of the triangle, show that the joining lines so obtained will meet in a point.

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Solution

from the figure
$A B ∥ E F$
quadrilateral $A B E F$ forms an trapezium
$∵$ diagnols of trapezium meets each other
$∴$ The joining lines so obtained will meet in a point

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