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## Answers

By using pythagoras theorem

(AC)² = (AB)² + (BC)²

(AC)² = 12² + 5² = 144 + 25 = 169 = `13²

⇒

**AC = 13cm**

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The sides of rectangle makes 90° with each other.

So applying Pythagoras theorem,

diagonal, d = √[(12)²+(5)²]

=√(144+25) =√169

= 13 cm

So applying Pythagoras theorem,

diagonal, d = √[(12)²+(5)²]

=√(144+25) =√169

= 13 cm