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Using Pythagoras’ Theorem in an Isosceles Triangle

Using Pythagoras’ Theorem in an Isosceles Triangle

TGM Original

In the figure, \(\Delta ABC\) is an isosceles triangle.
Given that \(AB=AC=15\) cm and \(BD=DC=12\) cm, find

  1. the length of \(AD\),
  2. the area of \(\Delta ABC\).

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Answer:(a) \(AD=9\text{ cm}\) (b) \(108\text{ cm}^2\)

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