Jammu and Kashmir Board Solutions for Chapter: The Triangle and Its Properties, Exercise 3: THINK, DISCUSS AND WRITE

How many altitudes can a triangle have?

Draw rough sketches of altitudes from $\mathrm{A}$ to $\overline{\mathrm{BC}}$ for the following acute-angled triangle.

Draw rough sketch of altitude from $A$ to $\overline{BC}$ for the following triangle:

Draw rough sketch of altitude from $A$ to $\overline{BC}$ for the following triangle:

Will an altitude always lie in the interior of a triangle? If you think that this need not be true, draw a rough sketch to show such a case.

Can you think of a triangle in which two altitudes of the triangle are two of its sides?

Can the altitude and median be same for a triangle?