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PLS Help! SHOW WORK ON IT

PLS Help! SHOW WORK ON IT-example-1
User Rafat
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Answer:

Perimeter of Triangle ABC is 21

Explanation:

According to the Midpoint Theorem, if the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.

In this case, since XY=7, then AZ+ZC will need to equal 14 as that's opposite of half. Since AZ=ZC given that they are congruent, then AZ=7. Therefore the perimeter is XA+XZ+AZ=5+9+7=21