ABC is a right angled triangle. Find the length of AB.

Given that BC = 12 units; AC = 13 units.

11 units

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7 units

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4 units

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5 units

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Solution

The correct option is D
5 units

In $Δ A B C$ , by applying Pythagoras theorem,
$A B^{2}$ + $B C^{2}$ = $A C^{2}$ ; where AC is the hypotenuse.
AB = $\sqrt{A C^{2} - B C^{2}}$ = $\sqrt{13^{2} - 12^{2}}$ = $\sqrt{169 - 144}$ = $\sqrt{25}$ = 5 units

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