Question
Draw a rectangle whose two adjacent sides are 5cm and 3.5cm. Make use of a pair of compasses and a ruler only.
✓
Answer
Steps of Construction:
- Draw a line-segment AB = 5cm with the help of a rular.
- With Aas centre and suitable radius draw an arc cutting AB at C.
- With C as centre and same radius cut the previous arc at D and then with D as centre and same radius cut the arc at E.
- With D as centre and radius more than half DE draw an arc.
- With E as centre and same radius draw another arc to cut the previous arc at F.
- Join AF and produce it to G such that AG = 3.5cm. Then $\angle\text{BAG}=90^\circ.$
- With G as centre and radius equal to AB draw an arc. With B as centre and radius equal to AG draw another arc to cut the previous arc at H.
- Join GH and BH. Then, AB HG is the required rectangle.
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