Question

The construction of $△ABC$ in which $AB=5cm,\angle A={45}^{\circ }$, is possible when $AC+BC=$

• A. $4.8cm$
• B. $5.6cm$
• C. $3.2cm$
• D. $2.8cm$

Answer 1

The correct option is B $5.6cm$

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

Hence one side is $AB=5cm$

$\Rightarrow AC+BC>5cm$

Here we have $AC+BC=5.6cm$ in option $C$

So it is possible to construct a triangle.