Geometry

Question Analysis

This question focuses on testing the basic understanding of the number of altitudes in a triangle. The key is to recall the definition of an altitude and how it relates to the structure of a triangle.

 

Key Concept Explanation

An altitude of a triangle is a line segment that is drawn from a vertex of the triangle and is perpendicular to the opposite side (or the line containing the opposite side). Since a triangle has three vertices, and an altitude can be drawn from each vertex to its opposite side, a triangle has three altitudes.

 

Step - by - Step Solution

1. Recall the structure of a triangle:

A triangle is a polygon with three vertices.

2. Consider the definition of an altitude:

For each vertex of the triangle, we can draw a line segment perpendicular to the opposite side.

For example, in , we can draw an altitude from vertex  perpendicular to side , an altitude from vertex

Click "Show Answer" to reveal the answer and analysis