Question

Which of the following method(s) is/are used to construct a right angle without using a protractor?

Answer 1

To construct a right triangle, the steps given below should be followed.

1. Draw a line OB of given length.

2. With O as the center, make an arc of any radius intersecting OB at X.

3. With X as the center, draw another arc keeping the radius the same intersecting the previous arc at D.

4. $\angle DOB$ will be ${60}^{\circ }$.

5. With D as the center and the same radius, draw another arc intersecting the first arc at C.

6. $\angle COB$ will be ${120}^{\circ }$.

7. Bisect COD drawing two equal arcs from each point intersecting at E.

8. Join EO and extend till A. $\angle AOB$ will be ${90}^{\circ }$.

So, it can be seen that both a ${60}^{\circ }$ angle and an angle bisector are constructed in the process.