(a) Construct a rectangle ABCD in which side BC = 5 cm and diagonal BD = 6.2 cm. |
(b) Can you draw a rhombus ZEAL, where ZE = 3.5 cm, diagonal EL = 5 cm? Why? |
Answer:
(a) Steps of Construction: (i) Draw BC = 5 cm. (ii) Draw \[CN\bot BC.~\] (iii)With B as a centre and radius 6.2 cm, draw an are, cutting CN at D. (iv) Join BD. (v) With D as centre and radius 5 cm, draw an are. (vi) With B as centre and radius equal to CD draw another arc, cutting the previous arc at A. 1 (vii) Join AB and AD, then ABCD is a required rectangle. (b) Yes, we can draw a rhombus ZEAL because all the four sides of a rhombus are equal in length.
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