# Q1. Construct the following quadrilaterals.(iv) Rhombus BEST BE = 4.5 cm ET = 6 cm

Given,

BEST is a rhombus where:

BE = 4.5 cm
ET = 6 cm (diagonal)

We know that the sides of a rhombus are equal in length and opposite sides are parallel to each other.

Therefore, the sides of Rohmbus BE = ES = ST = TB = 4.5 cm

Step 1.  Using SSS condition ,draw

Step 2. Now, ES = 4.5 cm . Using E as centre, draw an arc of radius = 4.5 cm

Step 3. Also, TS = 4.5 cm . Using T as centre, draw an arc of radius = 4.5 cm.

Step 4. Point S will be the point of intersection of the two drawn arcs. Join ES and TS to complete the rhombus.

BEST is the required rhombus.

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