Algebraic sides of a right triangle

Algebraic sides of a right triangle

Secondary 2
6 marks
TGM Original Questions

Optional extension

A right-angled triangle has perpendicular sides \((a+2)\) cm and \((2a+3)\) cm, and hypotenuse \((2a+5)\) cm.

  1. Show that Pythagoras’ theorem reduces to \(a^2-4a-12=0\).

    [2]

  2. Solve for the valid \(a\).

    [2]

  3. Hence find the area.

    [2]

Solution:

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Answer:(a) as shown (b) \(a=6\) (c) \(60\text{ cm}^2\).

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