Mathematics
By using ruler and compasses only, construct a quadrilateral ABCD in which AB = 6.5 cm, AD = 4 cm and ∠DAB = 75°. C is equidistant from the sides AB and AD, also C is equidistant from the points A and B.
Locus
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Answer
Steps of construction :
Draw AB = 6.5 cm as base.
At A, construct angle ∠DAB = 75° and cut an arc from A on it and mark point D such that AD = 4 cm.
Since, C is equidistant from the sides AB and AD, also C is equidistant from the points A and B hence it will be the intersection point of perpendicular bisector of AB i.e. FG and angle bisector of ∠DAB i.e. AE.
Join A, B, C and D forming quadrilateral ABCD.
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