If the measures of the angles of a triangle are in the ratio.

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If the measures of the angles of a triangle are in the ratio. 1 : 2 : 3 and if the length of the smallest side of the triangle is 10 cm, then the length of the longest side is

1. 20 cm.
2. 25 cm.
3. 30 cm.
4. 35 cm.

Correct Option: A

As per the given in question , we draw a figure triangle ABC

Let Angles of triangle = y°, 2y° and 3y°
∴ y + 2y + 3y = 180°
⇒ 6y = 180°
⇒ y = 30°
∴ Angles of triangle = 30°, 60° and 90°
∠ABC = 90°
∠BAC = 30°
∴ BC = 10 cm.

cos60° =	BC
	AC

⇒	1	=	10
	2		AC

⇒ AC = 20 cm.