Question

The construction of $△ABC$ in which $AB=6cm,\angle A={30}^{\circ }$, is not possible when $AC+BC=$

• A. $6.3cm$
• B. $7.2cm$
• C. $5.6cm$
• D. $6.9cm$

Answer 1

The correct option is C $5.6cm$

For constructing a triangle the sum of any two sides must be greater then third side.

Hence one side is $AB=6cm$

$\Rightarrow AC+BC>6cm$

So when $AC+BC=5.6cm$ it is not possible to construct a triangle.