Question

Please answer the questions in the photo and this one :


In a quadrilateral ABCD, show that AB+BC+CD+DA>AC+BD

(50 points)

Answer 1

here is the answer to the question
In a quadrilateral ABCD, show that AB+BC+CD+DA>AC+BD:-

Answer 2

Answer:

Step-by-step explanation:

ABCD is a quad.Its diagonals are AC and BD.

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.