Using ruler and compass construct a cyclic quadrilateral ABCD in which AC = 4 cm,

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asked Mar 14 in Class X Maths by aditya23 (-588 points)

Using ruler and compass construct a cyclic quadrilateral ABCD in which AC = 4 cm, ∠ABC = 60˚ , AB = 1.5 cm and AD = 2 cm. Also write the steps of construction .

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answered Mar 14 by navnit40 (-2,747 points)

Steps of construction :

(i) Draw a line segment AC = 4 cm.

(ii) Draw ∠CAX = 60˚.

(iii) Draw the perpendicular bisector MN of AC.

(iv) Draw EA ⊥ AX at the point  A which intersects MN at O.

(v) With centre O and radius OA draw a circle.

(vi) Mark a point B on the circumference of the circle such that AB = 1.5 cm and mark a point D on the circumference so that AD = 2.0 cm.

(vii) Join BC and measure ∠ABC = 60˚. Then ABCD is the required cyclic quadrilateral .

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