Altitude to the hypotenuse of a 7–24–25 triangle

Altitude to the hypotenuse of a 7–24–25 triangle

Secondary 2
TGM Original Questions

In right-angled triangle \(ABC\), \(\angle ACB=90^\circ\), \(AC=24\) cm and \(BC=7\) cm. Point \(D\) lies on \(AB\) with \(CD\perp AB\). Let \(AD=x\), \(DB=y\). Find

  1. \(AB\),
  2. \(x^2-y^2\),
  3. \(x-y\), to 3 significant figures where needed.

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Answer:(a) \(25\) cm; (b) \(527\text{ cm}^2\); (c) \(21.1\) cm (3 s.f.).

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