Question

In the figure below, if AC$>$AB and D is point on AC such that AB = AD, then the relation between BC and CD is .

• A. $BC>CD$
• B. $BC<CD$
• C. $BC=CD$

Answer 1

The correct option is A $BC>CD$

In $△$ABC,

AB+BC $>$ AC

$\Rightarrow$ AB + BC $>$ AD + CD

$\Rightarrow$ AB + BC $>$ AB + CD
(Since AB = AD)

$\Rightarrow$ BC $>$ CD