Question

From the given figure, in ∆ABQ, if AQ = 8 cm, then AB =?

Answer 1

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