Question
In ΔPQR, side PQ = 32 cm and side PR = 25 cm. What is the measure of side QR ?
Answer: Option E
$$\eqalign{
& QR = \sqrt {{{\left( {PR} \right)}^2} - {{\left( {PQ} \right)}^2}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {{{25}^2} + {3^2}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {625 - 9} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {616} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = 2\sqrt {154} \,cm \cr} $$
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$$\eqalign{
& QR = \sqrt {{{\left( {PR} \right)}^2} - {{\left( {PQ} \right)}^2}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {{{25}^2} + {3^2}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {625 - 9} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {616} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\, = 2\sqrt {154} \,cm \cr} $$
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