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6 votes
If given points A at (6, 3) and B at (-1,4), determine AB
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1 Answer

5 votes

Answer:

AB = 5
√(2)

Explanation:

Calculate the distance using the distance formula

d =
\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }

with (x₁, y₁ ) = A(6, 3) and (x₂, y₂ ) = B(- 1, 4)

AB =
√((-1-6)^2+(4-3)^2)

=
√((-7)^2+1^2)

=
√(49+1)

=
√(50)

= 5
√(2) ← exact value

≈ 7.07 ( to 2 dec. places )