Question

How many altitudes does a triangle have?

• A. $1$
• B. $3$
• C. $6$
• D. $9$

Answer 1

The correct option is B

$3$

Explanation for correct option

We know that the altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side, also known as the height of the triangle.

Let there be a triangle $\mathrm{ABC}$, then draw an altitude from $\mathrm{A}$ to $\mathrm{BC}$, $\mathrm{B}$ to $\mathrm{AC}$ and $\mathrm{C}$ to $\mathrm{AB}$

So, we can draw three altitudes from each vertex of a triangle to the opposite side, i.e., $\mathrm{AE},\mathrm{BF}$ and $\mathrm{CD}$.

Thus, a triangle have $3$ altitudes.

Hence, the correct option is option(B)