In a triangle ABC, B=90° and C=30° then AB : AC is
A) 1:2
B) 2:1
C) √3:2
D) 2:√3
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Given : In a triangle ABC, B=90° and C=30°
To Find : AB : AC
A) 1:2
B) 2:1
C) √3:2
D) 2:√3
Solution:
triangle ABC, ∠B=90°
=> AB and BC are perpendicular sides
and AC is hypotenuse
Sin ∠C = AB / AC
=> Sin 30° = AB / AC
=> 1 / 2 = AB / AC
=> AB : AC = 1 : 2
AB : AC = 1 : 2 is the correct option
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