Question

an altitude of a triangle is a line segment with one endpoint at a vertex of the triangle that is perpendicular to the opposite side of the triangle. construct the altitude in △abc from vertex a. make sure to place a point at the endpoints of the altitude you construct.

Explanation:

Step1: Identify the opposite side

The altitude from vertex \( A \) should be perpendicular to the opposite side, which is \( BC \).

Step2: Use the perpendicular tool

Select the perpendicular construction tool (the compass - like icon). Place the center of the compass on point \( A \) and adjust it to reach side \( BC \). Then, draw a perpendicular line from \( A \) to \( BC \), intersecting \( BC \) at a point (let's call it \( D \)). The segment \( AD \) is the altitude, with endpoints \( A \) and \( D \) (where \( D \) is on \( BC \) and \( AD\perp BC \)).

Answer:

To construct the altitude from vertex \( A \) to side \( BC \) in \( \triangle ABC \):

1. Identify side \( BC \) as the side opposite vertex \( A \).
2. Use the perpendicular construction tool (from the given toolbar, the compass - shaped one) to draw a line from \( A \) that is perpendicular to \( BC \). Let the intersection point of this perpendicular line with \( BC \) be \( D \).
3. The altitude is the segment \( AD \), with endpoints \( A \) (the vertex) and \( D \) (the point on \( BC \) where the perpendicular meets \( BC \)). Visually, you would draw a segment from \( A \) down to \( BC \) at a right angle, marking the endpoint \( D \) on \( BC \).