ABCD is a trapezium, side AB | side DC.
Points P and Q are the midpoints of sides AD
and BC respectively. AB = 7 cm, DC = 13 cm,
then find the length of seg PQ.
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Answer:
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Step-by-step explanation:
Given,
A trapezium, ABCD in which AB‖DC,
P and Q are Points on AD and BC respectively,
Such that PQ || DC.
Thus, AB||PQ||DC. In ∆ABD, PO || AB [∵ PQ || AB] By basic proportionality theorem
, If a line is drawn parallel to one side of a triangle to intersect the other sides in distinct points, the other two sides are divided in the same ratio.
such-thatAP = 42
∴ AD = AP + DP AD = 42 + 18 = 60 So, AD = 60 cm
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