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Question

Construct a quadrilateral GOLD with OL = 7.5 cm, GL = 6 cm, GD = 6 cm, LD = 5 cm, and OD = 10 cm.

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Solution

Steps of Constructions:

1. Construct ΔGLD using SSS construction method.
2. With L as the centre, draw an arc of radius 7.5 cm.
3. With D as the centre, draw an arc of radius 10 cm. These two arcs intersect at a point.
4. Since O lies on both the arcs, O is the point intersection of the two arcs.
5. Join LO and GO and complete GOLD.
GOLD is the required quadrilateral.


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