construct a quadrilateral ABCD ,where AB=6cm,BC=5.5cm,CD4.9cm ,AD=6.6and angleA=100degree6 of angle c
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QUADRILATERAL = MEANS 4 SIDES
TRIANGLE=3 SIDES
PENTAGON=5 SIDES
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ANSWER __
Given: In the Cyclic Quadrilateral ABCD, AB=6cm, BC=5.5cm, ∠ABC=80
o
and AD=4.5cm.
Construction:
(i) Draw a rough diagram and mark the measurements. Draw a line segment AB=6cm.
(ii) Through B draw BX such that ∠ABX=80
o
.
(iii) With B as centre and radius 5.5cm, draw an arc intersecting BX at C and join AC.
(iv) Draw the perpendicular bisectors of AB and BC intersecting each other at O.
(v) With O as centre and OA(=OB=OC) as radius, draw the circumcircle of ΔABC.
(vi) With A as centre and radius 4.5cm, draw an arc intersecting the circle at D.
(vii) Join AD and CD.
(viii) Now, ABCD is the required cyclic quadrilateral.
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