Question

The construction of a $∆ABC$ given that $BC=3cm$, $\angle C=60°$ is possible when difference of $AB$ and $AC$ is equal to

• A. $3.2cm$
• B. $3.1cm$
• C. $3cm$
• D. $2.8cm$

Answer 1

The correct option is D

$2.8cm$

Find the value of $AB-AC$

It is known that the construction of a triangle can only be possible if the difference between two sides is less than the third side.

It is given that $BC=3cm$.

So, the difference between the other two sides will be less than $BC$.

Thus,

$AB-AC<BC$

This condition is only satisfied by option(d).

Hence, the correct option is (d)$2.8cm$.