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Chapter 5: Q10 (page 186)

For the following figure, 鈭�KAPis a right angle and AM炉is a median then complete the statement

If m鈭�K=40then m鈭�KAM=__.

Short Answer

Expert verified

The statement is 鈥渋f m鈭�K=40, then m鈭�KAM=40.

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:

AM=KP2AM=2MK2AM=MK

Now, opposite angles of equal sides must be equal for triangle MKA.

m鈭�K=m鈭�KAMm鈭�KAM=40

Thus, the statement is m鈭�KAM=40.

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