Question

In $∆\mathrm{ABC}$,

• A. $\mathrm{AB}+\mathrm{BC}>\mathrm{AC}$
• B. $\mathrm{AB}+\mathrm{BC}<\mathrm{AC}$
• C. $\mathrm{AB}+\mathrm{AC}<\mathrm{BC}$
• D. $\mathrm{AC}+\mathrm{BC}<\mathrm{AB}$

Answer 1

The correct option is A

$\mathrm{AB}+\mathrm{BC}>\mathrm{AC}$

The explanation for the correct option:

Triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

So, in $∆\mathrm{ABC}$,

$\mathrm{AB}+\mathrm{BC}>\mathrm{AC}$

Hence option (A) is the correct answer.