Question

The construction of $\Delta LMN$ when $MN=6$ $cm$ and $m\angle M={45}^{\circ }$ is not possible when difference between $LM$ and $LN$ is equal to:

• A. $6.9$ $cm$
• B. $5.2$ $cm$
• C. $5$ $cm$
• D. $4$ $cm$

Answer 1

The correct option is A $6.9$ $cm$

In a triangle sum of length of $2$ sides is $>$ third side.

or

Difference of length of two sides is less than third side.

$LM,MN,NL$ are the length of sides.

$|LM-NL|<MN$

$|LM-NL|<6$

So construction of triangle is not possible as $|LM-NL|=6.9cm$