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Question

Construct the following quadrilateral: Quadrilateral GOLD. OL=7.5cm,GL=6cm,GD=6cm,LD=5cm,OD=10cm


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Solution

Let's draw a rough sketch of a quadrilateralGOLD, to get an idea about the parallelogram -

GL=6cmOD=10cmDL=5cmGD=6cmOL=7.5cm

Let's construct the quadrilateralGOLD using the information given in the question -

Step 1: Draw a line segmentDL=5cm,

Then take an arc of radius 6cm on the compass & cut an arc from the pointD&L, which bisect each other at pointG -

Step 2: Join GD&GL,

Then take an arc of radius 10cm on the compass & cut an arc from pointD, then change the radius to 7.5cm and cut another arc from pointL which intersect each other at pointO and then join DOandOL

Step 3: Join OG to get the required quadrilateral -

Hence, GOLDis the required quadrilateral.


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