ABCD is a trapezium in which AB|| DC and P, Q are points on AD and BC respectively such that PQ || DC. If PD = 18 cm, BQ = 35 cm and QC = 15 cm, find AD.
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Answer:
ABCD is a trapezium in which AB || DC and P,Q are points on AD and BC respectively, such that PQ || DC, if PD = 18 cm, BQ = 35 cm and QC = 15 cm, find AD. ABCD is a trapezium in which AB || DC and P,Q are points on AD and BC respectively, such that PQ || DC, if PD = 18 cm, BQ = 35 cm and QC = 15 cm, find AD.
Explanation:
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Answered by
37
Answer:
☞AD= 60 cm
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.
☞See the Attachment
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