Question

For the following figure, $\angle KAP$is a right angle and $\overline{AM}$ is a median then complete the statement.

If $MP=6\frac{1}{2}$then $MA=\_\_$.

Short answer

The statement is “if $MP=6\frac{1}{2}$, then $MA=6\frac{1}{2}$ .

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

For the right-angle triangle, the median is equal to one-half of the hypotenuse.

Here the angle KAP is a right-angle triangle.

Step 3. Step description.

Now, simplify the figure as follows:

$\begin{array}{c}AM=\frac{KP}{2}\\ AM=\frac{2MP}{2}\\ =MP\\ =6\frac{1}{2}\end{array}$

Thus, the statement is $MA=6\frac{1}{2}$units.