Construct the following quadrilateral: Rhombus BEST. BE = 4.5 cm ET = 6 cm

Solution

We know that all sides of a rhombus are of the same measure.

Hence, BE = ES = ST = TB The rough sketch of the rhombus BEST can be drawn as follows.

(1) ∆ BET can be constructed by using the given measurements as follows.

(2) Vertex S is 4.5 cm away from vertex E and also from vertex T.

Hence, while taking E and T as centres, draw arcs of 4.5 cm radius, which will be intersecting each other at point S.

(3) Join S to E and T. 

 

BEST is the required rhombus.

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