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A ratio and diagonal segment inside a rectangle

A ratio and diagonal segment inside a rectangle

Secondary 2
4 marks
TGM Original Questions

Rectangle \(PQRS\) has \(SR=15\) cm. Point \(U\) lies on \(RQ\), point \(T\) lies on \(PQ\), \(RU=8\) cm, \(TU=17\) cm, and \(UQ:TQ=3:4\). Find

  1. \(UQ\),[2]
  2. \(ST\), to 3 significant figures where needed.[2]

Solution:

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Answer:(a) \(10.2\) cm (b) \(18.3\) cm.

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