Question

If the angles of a triangle are in the ratio of
1:2:3 then the ratio of their opposite sides
is...​

Answer 1

Step-by-step explanation:

Let the angles be x, 2x & 3x then,

x + 2x + 3x = 6x

6x = 180°

x = 30°

So, angles are 30°, 60° & 90°

Now , Hypotenuse is opposite to 90°

So, sides will be :

H , Hcos60 & Hsin60 , which means

H , H/2 & H(√3)/2

2H , H , √3H

1:2:√3