NCERT Solutions for Chapter: Triangles, Exercise 2: Exercise

Is it possible to construct a triangle with lengths of its sides as $4 cm, 3 cm$ and $7 cm$? Give reasons for your answer.

It is given that $\Delta ABC\cong \Delta RPQ.$ Is it true to say that$BC=QR$? Why?

It is given that $\Delta PQR\cong \Delta EDF$, then is it true to say that$PR=EF$? Give reasons for your answer.

In$\Delta PQR, \angle P=70°$ and $\angle R=30°$. Which side of this triangle is the longest? Give reason for your answer.

$AD$ is a median of the triangle $ABC$. Is it true that $AB+BC+CA>2AD$? Give reason for your answer.

$M$ is a point on side $BC$ of a triangle $ABC$ such that $AM$ is the bisector of $\angle BAC.$ Is it true to say that perimeter of the triangle is greater than$2 AM$? Give reason for your answer.

Is it possible to construct a triangle with lengths of its sides as $9 cm, 7 cm$ and $17 cm$? Give reason for your answer.

Is it possible to construct a triangle with lengths of its sides as$8 \mathrm{cm},$ $7\mathrm{cm}$ and $4 \mathrm{cm}$? Give reason for your answer.