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Example 1Find the length of the segment withthe given endpoints:C (3, 6) and D (7, -3).Post SlideStudents, draw anywhere on this slide!

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The segment is a straight line that connects the two points C and D. We want to determine the distance between C and D. Looking at the given points, the x cordinates are 3 and 7. The y coordinates are 6 and - 3.

The first step is to determine the distance between the x coordinate. We can subtract the higher value from the lower value but we must take the absolute value. Therefore, the distance between the x coordinate is 3 - 7 = - 4. The absolute value is 4

The distance between the y coordinate would be 6 - - 3 = 9. The absolute value is 9

The next step is to find the square root of the sum of both distances. It becomes


√(4^2+9^2)\text{ = }\sqrt{97\text{ }}

The length of the segment is 9.85

User Nguyen Phong Thien
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