Q8 of 805 Page 18

Construct, if possible, a quadrilateral ABCD in which AB = 6 cm, BC = 7 cm, CD = 3 cm, AD = 5.5 cm and AC = 11 cm. Give reasons for not being able to construct, if you cannot. (Not possible, because in triangle ACD, AD + CD < AC).

As four sides and diagonal of quadrilateral is given.

Step 1-Using SSS construction condition first we will draw ΔACD. Draw line AC of length 11 cm.



Step 2- Then using compass take a length of 5.5 cm and draw an arc by taking A as centre. Do the same by taking as centre and length of 3 cm.



As the arcs are not intersecting so the quadrilateral cannot be constructed. (as in ΔACD, CD+AD< AC)


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