Chapter 10.2, Problem 4CE

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 $B$ ”.

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

• Consider the line segment $\overline{AC}$ .and extend it.
• Using Bas centre draw two arcs of same radii that intersects the line $\overline{AC}$ at two

pointsX and Y.

• As X and Yas centers with suitable radius draw two arcs that intersect at point $Z.$
• Draw the line $\overline{BZ}$ .
• Thealtitude is $\overline{BM}$

The construction is shown below.

  

Hence, theconstruction of altitude of $\Delta ABC$ is described.