Question

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

Answer 1

Answer:

In triangle ABC

AB+BC>AC.........1

In triangle BCD

BC+CD>BD.........2

In triangle CDA

CD+DA>AC.........3

In triangle DAB

DA+AB>BD..........4

on adding 1, 2, 3 &4

AB+BC+BC+CD+CD+DA+DA+AB>AC+BD+AC+BD

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

Cancel 2&2 both sides..and you'll get->

AB+BC+CD+DA>AC+BD...

hope my answer helped you mate..(•‿•)

Answer 2

Answer:

Refer to the attachment above. ⬆️

hope it helps!!