Question

The number of altitudes that can be drawn in a triangle, is

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is C

$3$

Correct option:(c) $3$

An altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the base (the side opposite the vertex).

In a triangle there are three vertices, so an altitude can be drawn from those three vertices as shown in the following figure.

In the $△ABC$

the altitudes are $AD,BEandCF$

So, there are three altitudes that can be drawn in a triangle.

Incorrect options:

(a) $1$

From the above, there are three altitudes that can be drawn in a triangle.

So, this is incorrect.

(b)$2$

From the above, there are three altitudes that can be drawn in a triangle.

So, this is incorrect.

(d)$4$

From the above, there are three altitudes that can be drawn in a triangle.

So, this is incorrect.

Hence, the correct option is (c )