abcd is a trapezium with ab parallel to cd is equal to 15 cm and cd is equal to 10 cm x is the midpoint of the side a d through x xy is parallel is drawn parallel to a b to meet bc at y find the length of xy
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Answer:
Explanation:
To find: Length of XY
Construction : Join BD intersecting XY at E.
In ΔABD, X is the midpoint of AD parallel to AB and intersecting at G.
therefore E is the midpoint of bd. By midpoint theorem XE is half of AB.
XE = 7.5 cm
Similarly in ΔBCD, E and Y will be Midpoints of BD and BC.
Therefore, EY will be half of CD
EY = 5 cm
XY = XE + EY
= 7.5 + 5
= 12.5 cm
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