Question

In the adjoining figure, verify by measurement that:
(1) AC + BD = AD + BC
(ii) AB + CD = AD - BC.​

Answer 1

• AC = AB + BC (i)
• BD = BC + CD (ii)
• AD = AB + BC + CD (iii)

Adding(i) and (ii)

AC + BD = AB + BC + CD + BC

$\implies$ AC + BD = AD +BC ; [ from (iii) ]

Answer 2

Answer :-

AC = AB + BC (1)

BD = BC + CD (2)

AD = AB + BC + CD (3)

Adding(1) and (2)

AC + BD = AB + BC + CD + BC

⟹ AC + BD = AD +BC