Using ruler and compass only, construct a triangle ABC such that AB = 5 cm,

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asked Mar 14 in Class X Maths by aditya23 (-605 points)

Using ruler and compass only, construct a triangle ABC such that AB = 5 cm, ABC = 75˚ and the radius of the circumcircle of triangle ABC is 3.5 cm. On the same diagram, construct a circle, touching AB at its middle point and also touching the side AC.

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answered Mar 14 by navnit40 (-2,750 points)

Steps : Draw a line segment AB = 5 cm long. Make an angle of 75˚ at  ‘B’ draw perpendicular bisector of AB and angular bisector of B.

Mark 3.5 cm on the perpendicular bisector with O as centre and radius equal to OA or OB draw circum-circle. Mark 2.5 cm on AC from  A. Join BD, it will intersect at P, with P as centre and PD as radius draw another circle. 

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