Triangle Median and Altitude: Identifying Lines in Triangle ABC
Question
The triangle ABC is shown below.
To which side(s) are the median and the altitude drawn?
Step-by-Step Solution
To solve the problem of identifying to which side of triangle ABC the median and the altitude are drawn, let's analyze the diagram given for triangle ABC.
We acknowledge that a median is a line segment drawn from a vertex to the midpoint of the opposite side. An altitude is a line segment drawn from a vertex perpendicular to the opposite side.
Upon reviewing the diagram of triangle ABC, line segment AD is a reference term. It appears to meet point C in the middle, suggesting it's a median, but it also forms right angles suggesting it is an altitude.
Given the placement and orientation of AD, it is perpendicular to line BC (the opposite base for the median from A). Therefore, this line is both the median and the altitude to side BC.
Thus, the side to which both the median and the altitude are drawn is BC.
Therefore, the correct answer to the problem is the side BC, corresponding with choice Option 2: BC.