Question

For constructing a right angle without a protractor, which of the following method/s is/are used?

• A. Angle Bisector
• B. ${60}^{\circ }$ angle construction
• C. Median
• D. Construction of triangle

Answer 1

Answer: (A), (B)

${60}^{\circ }$ angle construction

To construct a right angle triangle, the following steps should be followed:

1. Draw a line OB of given length.
2. With O as centre, make an arc of any radius intersecting OB at X.
3. With X as a centre, draw another arc keeping the radius same intersecting the previous arc at D.
4. $\angle$DOB will be 60${}^{\circ }$.
5. With D as a centre and keeping the radius same, 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 points intersecting at E.
8. Join EO and extend till A. $\angle$AOB will be 90${}^{\circ }$.
So, it can be seen that both 60${}^{\circ }$ and angle bisector construction is used in the process.