Question

in triangle pqr right angle at Q if a p q is equal to 5 centimetre and PR is equal to CM 13then Q R is equal to dash

Answer 1

As the triangle is right angled at Q, PR is the hypotenuse. By Pythagoras Theorem,
${h}^{2} = {b}^{2} + {p}^{2}$
$= > {pr}^{2} = {pq}^{2} + {qr}^{2}$
$= > {13}^{2} = {5}^{2} + {qr}^{2}$
$= > {qr}^{2} = 169 \: - \: 25$
$= > qr \: = \sqrt{144}$
$= > qr \: = \: 12 \: cm$
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