Trapezium inside a right triangle

Trapezium inside a right triangle

Secondary 2
TGM Original Questions

In right-angled triangle \(UVW\), points \(M,N\) lie on \(UV,UW\) and \(MN\parallel VW\). The labelled lengths are shown. If trapezium \(MNVW\) has area \(174\text{ cm}^2\):

  1. show that \(5x^2+9x-170=0\)
  2. find \(x\)
  3. find the perimeter of \(UVW\).

Solution:

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Answer:(b) \(x=5\); (c) \(70\) cm.

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