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Question
From the given figure, in ∆ABQ, if AQ = 8 cm, then AB =?
Solution
In ∆ABQ,
∠B = 90°, ∠Q = 30° ...[Given]
∴ ∠A = 60° ...[Remaining angle of a triangle]
∴ ∆ABQ is a 30°–60°–90° triangle.
∴ AB = `1/2` AQ ....[Side opposite to 30°]
∴ AB = `1/2 xx 8`
∴ AB = 4 cm
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