The sides of a triangle are in the ratio 1 : √(3) : 2, then the angles of the triangle are in the ratio

The sides of a triangle are in the ratio 1 : √(3) : 2, then… — JEE Main 2004 Mathematics PYQ

AIEEE 2004

The sides of a triangle are in the ratio

1 : \sqrt{3} : 2

, then the angles of the triangle are in the ratio

A.
$1 : 3 : 5$
B.
$2 : 3 : 2$
C.
$3 : 2 : 1$
D.
$1 : 2 : 3$

Show answer and solution

Correct option: D

Solution

The sides 1 : √3 : 2 correspond to a 30-60-90 triangle (since sin30°=1/2, sin60°=√3/2, sin90°=1). The angles are 30° : 60° : 90°, which simplifies to 1 : 2 : 3.

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