Question

A rectangle can be constructed given that a diagonal is 3.4 cm and one side is 2.8 cm.

• A. True
• B. False

Answer 1

The correct option is A True

Given: AB = 2.8 cm and BD = 3.4 cm.
Steps:
1. Draw a line segment AB = 2.8 cm.
2. Construct a perpendicular AE to AB at A.
3. With B as centre and radius 3.4 cm draw an arc to cut AE in D.
4. With A as centre and radius 3.4 cm draw an arc.
5. With D as centre and radius 2.8 cm draw an arc so as to intersect the previous arc in C.
6. Join DC and BC.
You get the rectangle ABCD