Q. 134.7( 40 Votes )

# Construct a quadrilateral ABCD in which AB=4cm, AC=5cm, AD=5.5cm and ∠ABC =∠ACD = 90°.

Given :

AB = 4 cm , AC = 5 cm , AC = 5.5 cm .

Construction :

Step 1 : Draw segment AB of length 4 cm.

Step 2 : Draw angle ABP of 90 degrees.

Step 3 : Taking A as centre draw arc of radius 5 cm which cuts the segment BP. Point of intersection is C.

Step 4 : Join AC.

Step 5 : Draw angle ACD of 90 degrees.

Step 6 : Taking A as centre draw arc of radius 5.5 cm which cuts the segment CF. Point of intersection is D.

Step 4 : Join AD.

ABCD is the required quadrilateral.

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