Q. 164.3( 3 Votes )
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).
In a triangle, the sum of the length of its two sides must be greater than that of the third side.
In triangle ACD,
AD + CD = 5.5 + 3 = 8.5 cm
and AC = 11 cm
⇒ AD + CD < AC which is not possible.
So, the construction is not possible.
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