Question

1. an altitude of a triangle is a line segment drawn from one of its three vertices so that it is perpendicular to the opposite side. these can be created by using the construction from #7. for \\( \triangle r s t \\) shown below, construct the altitude from \\( t \\) to side \\( \overline{r s} \\). leave all construction marks.

Explanation:

Step1: Place the compass on point T

Open the compass to a width that can intersect side RS at two points.

Step2: Draw arcs intersecting RS

Draw two arcs from point T that intersect side RS at two distinct points, say A and B.

Step3: Draw arcs from A and B

With the same compass width, draw arcs from points A and B above (or below) the side RS. Let these arcs intersect at a point, say C.

Step4: Draw the altitude

Draw a straight line from point T to the intersection point C. This line \( TC\) is the altitude from T to side RS.

Answer:

The altitude from \( T\) to \( RS\) is constructed as described above with all construction marks left as per the steps.