How many altitudes does a triangle have?
a. 1
b. 3
c. 6
d. 9

Solution:

We have to find the number of altitudes of a triangle.

The altitude of a triangle is a perpendicular that is drawn from the vertex of a triangle to the opposite side.

The altitude makes a right angle with the base of the triangle that it touches.

Altitudes can be drawn in every triangle from each of the vertices.

Since there are three sides in a triangle, three altitudes can be drawn from each vertex.

Altitude is also commonly known as the height of the triangle.

The point of intersection of all the altitudes of the triangle is called the orthocentre.

Therefore, the number of altitudes in a triangle is 3.

✦ Try This: How many medians does a triangle have

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 32

How many altitudes does a triangle have? a. 1, b. 3, c. 6, d. 9

Summary:

A triangle has three altitudes

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