Triangle ABC is a triangle, right angled at $∠ A B C$ . If AB = 12cm ; BC = 16cm, find the length of AC.

20 c m

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30 c m

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25 c m

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18 c m

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Solution

The correct option is A $20 c m$
According to Pythagoras' theorem:

$A B^{2} + B C^{2} = A C^{2}$
$12^{2} + 16^{2} = A C^{2}$ = $144 + 256 = 400$
$∴$ AC = $\sqrt{4} 00$ = $20$
AC= $20 c m$

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