ABCD is a trapezium in which AB||DC and P and Q arepoints on AD and BC respectively such that PQ||DC .If PD = 12 cm, BQ = 42 cm and QC = 18 cm, find AD.

Question

ABCD is a trapezium in which AB||DC and P and Q arepoints on AD and BC respectively such that PQ||DC .If PD = 12 cm, BQ = 42 cm and QC = 18 cm, find AD.
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Solution 1

Given that ABCD is a trapezium with AB||DC and PQ||DC. Also, PD = 12 cm, BQ = 42 cm, and QC = 18 cm.

Since PQ is parallel to DC and DC is parallel to AB, by the transitive property, PQ is also parallel to AB.

This means that triangle PDQ and triangle BQC are similar (by the AA postulate, as they Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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