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