Question

The acute angle of a right triangle are in the ratio 2: 1 . Find each of these angles

Answer 1

the ratio of acute angle of right Triangle (which are other than 90°)=1:2
let the two angles be x and 2x
and their sum must be 90° (sum of angles of Triangle is 180°)
therefore,
x+2x=90°
3x=90°
x=30°
angles are 30° and 60°

Answer 2

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° .