5. The distance between two given points (5,2) and (x,5) is 5 units. Find the possible values of x. *​

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Explanation:

We'll use the distance formula here. Rather than compute the distance d based on two points given, we'll go in reverse to use the given distance d to find what the coordinate must be to satisfy the conditions.

We're given that d = 5

The first point is and the second point has coordinates of where x is some real number.

We'll plug all this into the distance formula and solve for x.

This means that if we had these three points

Then segments AB and AC are each 5 units long.

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