Question

In a right angle triangle the ratio of acute angles is 2 : 1. What are the angles of the triangle.

Answer 1

In a right angled triangle ; One angle = 90° .

We know that ,Sum of angles in a traingle =180° .
Given that ratio of other two angles =1:2 .
Let the other angles be x,2x.

Now ,According to The Angle Sum Property.

=> x + 2x + 90 = 180

=> 3x =90

=> x =30 .

Therefore ,Now angles are 30° , 60° .


If The acute angle of a right triangle are in the ratio 2: 1 , Then the acute angles are 30° , 60° .