A Pythagorean triangle attached to a 45-degree triangle

A Pythagorean triangle attached to a 45-degree triangle

Secondary 2
TGM Original Questions

In the diagram, \(AC=5\) cm, \(BC=12\) cm, \(\angle ACB=90^\circ\), and \(\angle ADC=45^\circ\). Find

    1. \(AB\),
    2. \(DB\)
  1. determine whether \(\angle BAD=90^\circ\), showing your working.

Solution:

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Answer:(a)(i) \(13\) cm; (ii) \(17\) cm; (b) No, \(\angle BAD\ne90^\circ\).

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