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Question
In the figure PR is ______.
Options
18 cm
`3sqrt3` cm
`6sqrt3` cm
`9sqrt3` cm
MCQ
Fill in the Blanks
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Solution
In the figure PR is `bbunderline(6sqrt3 cm)`.
Explanation:
ΔPQR is right-angled at Q.
PQ = 9 cm (perpendicular),
∠R = 60°
In ΔPQR,
sin(60°) = `(PQ)/(PR)`
= `sqrt3/2 = 9/(PR)`
= PR = `(9 xx 2)/sqrt3`
= PR = `18/sqrt3`
PR = `6sqrt3` cm
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