find BC if B(-2,2) and C(6,4)

Question

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Answer 1

To find the length of BC, use the distance formula

 

d= square root of (x-x)^2 + (y-y)^2

 

(-2-6)^2 + (2-4)^2

 

(-8)^2 + (-2)^2

 

64 + 4 = 68

 

BC = the square root of 68

Answer 2

You want the distance formula, which is nothing more than the Pythagorean Theorem for these two points.  The distance between them is the hypotenuse of an easily drawn and pictured right triangle.  The math follows:

 

d = √[(6--2)²+(4-2)²]

d = √(64+4)

d=√68

d=2√17 = roughly 8.25