Draw a right triangle ABC in which and . Draw a triangle similar to with its sides equal to of the corresponding sides of .

Steps of construction:

1. Construct  a line segment with the help of ruler.

2. At the point A, make a ray AX perpendicular to AB and cut off .

3. Then, join BC. Then, ABC is the triangle.

4. Draw a ray AY making an acute angle with AB and cut off equal parts making

5. Then, join  and B.

6. Then , draw parallel to  and  B’C’ parallel to BC.

Then,   is the required triangle.