find the length of the diagonal of a recyangle whoose sides ate 12 cm and 5 cm
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Consider the rectangle ABCD with a diagonal AC
By using pythagoras theorem
(AC)² = (AB)² + (BC)²
(AC)² = 12² + 5² = 144 + 25 = 169 = `13²
⇒ AC = 13cm
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
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