Question

ABCD is a rectangle. If AB=5cm and BC=12cm, find the diagonal BD.
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Answer 1

QUESTION:

ABCD is a rectangle. If AB=5cm and BC=12cm, find the diagonal BD.

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GIVEN:

Side AB=5cm

Side BC=12cm

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NEED TO FIND:

Diagonal BD.

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Using Pythagoras Theorem in right triangle ABC OR triangle ADC.

${\green{AC²=BD²=AB²+BC²}}$

insert the values,

$AC²=BD²=5²+12²$

$=>AC²=BD²=25+144$

$=>AC²=BD²=169$

$=>AC=BD=\sqrt{169}$

$=>AC=BD={\blue{13}}$

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• Hence diagonal BD is equal to 13 cm.

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${\large{\mathcal{\red{Have \: a \: nice \: day \: ahead}}}}$

Answer 2

Answer:

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