Chapter 10.2, Problem 6CE

To determine

To describe: the construction of perpendicular to $\overline{BC}$ .

Explanation of Solution

Given information:

The given statement is “perpendicular to $\overline{BC}$ at $C$ ”.

The procedure to construct altitude of$\Delta ABC$:

• Consider the line segment $\overline{BC}$ .and extend it.
• Using C as centre draw two arcs of same radii that intersects the line $\overline{BC}$ at two points X and Y.
• With X and Y as centers and suitable radius draw two arcs that intersect at point $Z.$
• Draw the line $\overline{CZ}$ .
• The line $\overline{CZ}$ is perpendicular to $\overline{BC}$ .

The construction is shown below.

  

Hence, the construction of perpendicular to $\overline{BC}$ is described.