Question

It is not possible to construct $\Delta \text{ABC}$ given that BC = 5.5 cm and $\angle C={60}^{\circ }$, when sum of the measures of AB and AC equal to ___.

• A. 5.9 cm
• B. 6 cm
• C. 4.5 cm
• D. 5.7 cm

Answer 1

The correct option is C 4.5 cm

For any triangle to exist there is a condition that the sum of any two sides should be greater than the third side.
The required condition for construction is AB + AC > BC
Since, 4.5 cm $\ngtr$ 5.5 cm, it is not possible to construct a triangle.