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Question
Construct the following quadrilaterals.
Rectangle OKAY
OK = 7 cm
KA = 5 cm
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Solution
1) A rough sketch of this quadrilateral is drawn as follows.
2) Draw a line segment OK of 7 cm and an angle of 90º at point K. As vertex A is 5 cm away from vertex K, cut a line segment KA of 5 cm from this ray.
3) Vertex Y is 5 cm and 7 cm away from vertex O and A respectively. By taking radius as 5 cm and 7 cm, draw arcs from point O and A respectively. These will be intersecting each other at point Y.
4) Join Y to A and O
OKAY is the required quadrilateral.
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A quadrilateral can be constructed uniquely if three angles and any two sides are given.
