Chapter 10.2, Problem 5CE

To determine

To describe: the construction of altitude of $\Delta ABC.$

Explanation of Solution

Given information:

The given statement is “The altitude of $\Delta ABC$ that contains vertex $A.$ ”.

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

• Consider the line segment $\overline{BC}$ .and extend it.
• Using A 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 $\overline{AZ}$ .
• The altitude is $\overline{AM}$

The construction is shown below.

  

Hence, the construction of altitude of $\Delta ABC$ is described.