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Question

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

A

Angle Bisector

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B

60 angle construction

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C
Median
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D

Construction of triangle

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Solution

## The correct option is B 60∘ 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. ∠DOB will be 60∘. 5. With D as a centre and keeping the radius same, draw another arc intersecting the first arc at C. 6. ∠COB will be 120∘ . 7. Bisect COD drawing two equal arcs from each points intersecting at E. 8. Join EO and extend till A. ∠AOB will be 90∘. So, it can be seen that both 60∘ and angle bisector construction is used in the process.

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