NCERT Solutions for Chapter: The Triangle and its Properties, Exercise 1: EXERCISE 6.1

In $∆\mathrm{P}\mathrm{Q}\mathrm{R}$, $\mathrm{D}$ is the midpoint of $\overline{\mathrm{QR}}$
$\overline{PM}$ is ______
$\overline{\mathrm{PD}}$ is _______
Is $\overline{\mathrm{QM}}=\overline{\mathrm{MR}}?$

Draw rough sketches for the following:

In $\mathrm{\Delta }\mathrm{A}\mathrm{B}\mathrm{C}$, $\mathrm{B}\mathrm{E}$ is a median.

Draw rough sketches for the following:
In $\mathrm{}\mathrm{\Delta }\mathrm{P}\mathrm{Q}\mathrm{R}$, $\mathrm{P}\mathrm{Q}$ and $\mathrm{P}\mathrm{R}$ are altitudes of the triangle.
 

Draw rough sketches for the following:
 In $\mathrm{\Delta }\mathrm{X}\mathrm{Y}\mathrm{Z}$, $\mathrm{Y}\mathrm{L}$ is an altitude in the exterior of the triangle.

Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.