question_answer

(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.