Geometry

Question Analysis

The main focus is to identify the triangle that shows the altitude (height) with respect to the given base . We need to apply the concept of an altitude to match it with the visual representation in the provided triangles.

 

Key Concept Explanation

An altitude of a triangle is a line segment drawn from a vertex perpendicular to the opposite side (the base). It represents the height of the triangle with respect to that base.

 

Step - by - Step Solution

1. Analyze each triangle:

In the first triangle, the dashed line is perpendicular to , not , so it is not the altitude with respect to base .

In the second triangle, the dashed line is perpendicular to XZ, not XY, So it is not the altitude with respect to base .

In the third triangle, the dashed line is drawn from vertex