Does an altitude lie always inside the triangle?

$\mathrm{ABC}$ is an equilateral triangle of side $2\mathrm{a}$, then length of one of its altitude is $a\sqrt{x}$. The value of $\mathrm{a}$ is _____.

$\overline{XM}$ is a median in $△XYZ, X{Y}^2+X{Z}^2=328$ and $XM=8$ then $YZ=$ _____.

Write the definition of the altitude of a triangle.

If $\mathrm{\Delta }\mathrm{E}\mathrm{B}\mathrm{D}$ is a right triangle, name the two altitudes of $△\mathrm{EBD}$.

In the figure, identify the Altitude

Which of the following figures will have it's altitude outside the triangle?