If the measure 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:

A. 20 cm

B. 25 cm

C. 30 cm

D. 35 cm

Answer: Option A

Solution(By Examveda Team)

Let angle = x, 2x, 3x
x + 2x + 3x = 180
(∵ Sum of internal angle of a Δ)
6x = 180°
x = 30°
So, angle = 30, 60, 90
Smallest side of Δ
= 1 unit
= 10 cm
Largest side of Δ
= 2 units
= 20 cm