The orthocenter is located inside the triangle in triangle. (Acute/Right) 

$\mathrm{ABC}$ 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 _____.

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

Write the definition of the altitude of a triangle.

In the figure, identify the Altitude

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

In the equilateral triangle $\mathrm{A}\mathrm{B}\mathrm{C}$, the three altitudes $\mathrm{A}\mathrm{L}$, $\mathrm{B}\mathrm{M}$, $\mathrm{C}\mathrm{N}$ have been drawn that intersect at $\mathrm{O}$.
$\mathrm{B}\mathrm{O}=\mathrm{C}\mathrm{O}$

Draw all three altitudes for the following triangles and explain how they are different: