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Find the distance the points A(7, 13) an...

Find the distance the points A(7, 13) and B(10, 9).

A

`5`

B

`6`

C

`7`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
A
The given point are A(7, 13) and B(10, 9).
Then, `x_(1) = 7, y_(1) = 13 "and" x_(2) = 10, y_(2) = 9`
`therefore AB = sqrt((x_(2) - x_(1))^(2) + (y_(2) -y_(1))^(2))`
`=sqrt((10-7)^(2) + (9-13)^(2)) = sqrt(3^(2) + (-4)^(2))`
` = sqrt(9+16) = sqrt(25) = 5"units."`
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