Question

65. ABCD is quadrilateral. Is
AB + BC + CD + DA < 2 (AC + BD)?​

Answer 1

Answer:

AC is Hypotenuse in triangle ABC.

so,

AB<AC---1

BC<AC---2

because hypotenuse is the biggest one in Right triangle.And ABCD is quardrilateral so ABC is Right triangle.

similarly,

DA<BD---3

CD<BD---4

Now from 1,2,3& 4

AB+BC+CD+DA<(AC+AC)+(BD+BD)

=>AB+BC+CD+DA<2(AC+BD)

Answer 2

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