Question

ABCD is a quardilateral. is AB+BC+CD+DA>AC+BD?

Answer 1

Answer:

Yes It Is.

Step-by-step explanation:

In triangle ACB,

AB + BC > AC ------ (1)

In triangle BDC,

BC + CD > BD ------ (2)

In triangle ACD,

AD + DC > AC ------ (3)

In triangle BAD,

AB + AD > BD ------ (4)

Adding 1,2,3 and 4

AB + BC + BC + CD + AD + DC + AB + AD > AC + BD + AC + BD

2AB + 2BC + 2CD + 2AD > 2AC + 2BD

AB + BC + CD + AD > AC + BD (Proved).