Mathematics
Construct a triangle ABC in which AC = 5 cm, BC = 7 cm and AB = 6 cm.
(i) Mark D, the mid-point of AB.
(ii) Construct a circle which touches BC at C and passes through D.
Constructions
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Answer
Steps of construction :
Draw a line segment AC = 5 cm.
From A draw an arc of radius 6 cm and from C draw an arc of radius 7 cm, intersecting each other at point B.
Draw XY, the perpendicular bisector of AB, and mark D as the mid point.
Draw perpendicular bisector of CD.
From C, draw a line segment perpendicular to AC, which intersect the PQ, perpendicular bisector of CD at O.
Take O as centre and OD as radius draw a circle.
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