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45 votes
45 votes
Given points C(1, 2) and D(6,8) pictured below, which of the following is closest to the length of CD? (1) 6.5 (2) 6.8 (3) 7.3 (4) 7.8

User Zwebie
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1 Answer

12 votes
12 votes

It is necessary to calculate the distance in between the points C and D, in order to determine which is the closest length. Use the following formula:

d = √((y2 - y1)²+(x2 - x1)²)

where (x1,y1) and (x2,y2) are the coordinates of the points.

In this case, you have:

(x1,y1) = C(1,2)

(x2,y2) = D(6,8)

replace the previous values of the parameters into the formula for d and simplify:

d = √((8 - 2)²+(6 - 1)²)

d = √((6)²+(5)²)

d = √(36 + 25)

d = √(61)

d ≈ 7.8

User Baligena
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