Question

In a right angled triangle the acute angles are in the ratio 1:2. what is the ratio of the sides of the triangle

Answer 1

sum of angles in triangle = 180

as it is right angeled triangle one angle is 90°

others two have sum 90

but they are in ratio 1:2

so their measure must be

30° and 60°

so the triangle becomes triangle of 30-60-90

if the side opposite to 30° Will be considered 1

then hypotenuse =2

and other side which is opposite to 60° Will be √3

so ratio is

1:√3:2