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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 5: Q8 (page 186)

For the following figure, $∠ K A P$ is a right angle and $\bar{A M}$ is a median then complete the statement.
If $M P = 6 \frac{1}{2}$ then $M A =__$ .

Short Answer

Expert verified

The statement is “if $M P = 6 \frac{1}{2}$ , then $M A = 6 \frac{1}{2}$ .

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

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.

03

Step 3. Step description.

Now, simplify the figure as follows:

$\begin{matrix} A M = \frac{K P}{2} \\ A M = \frac{2 M P}{2} \\ = M P \\ = 6 \frac{1}{2} \end{matrix}$

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

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