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.
Show that Pythagoras’ theorem reduces to \(a^2-4a-12=0\).
[2]Solve for the valid \(a\).
[2]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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