Question

Describe how you would construct each of the following:

The altitude of $\Delta ABC$ that contain vertex$B$.

Short answer

The construction of altitude of $\Delta ABC$ is described.

Step-by-step solution

Step 1. Given information.   

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

Step 2. Concept used.

A line segment joining a vertex to the midpoint of the opposite side.

Step 3. Solution.

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

• Consider the line segment$\overline{AC}$and extend it.

• Using $B$as centre draw two arcs of same radii that intersects the line$\overline{AC}$at two

points$X \&Y$.

• As $X$and $Y$as centers with suitable radius draw two arcs that intersect at point $Z$.

• Draw the line $\overline{BZ}$.

• The altitude is $\overline{BM}$.

The construction is shown below:

Therefore, The construction of altitude of $\Delta ABC$ is described.