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Find the distance between the two points 5,6 and 0,-6. Show your work​

User LotusUNSW
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6 votes

Answer:

The distance between two points is √169 or 13.

Explanation:

In the question we need to find the distance between two points 5,6 and 0,-6 given.

Distance between two points can be found using the formula:


d(P1,P2) = \sqrt{(x_(2)-x_(1))^2 + (y_(2)-y_(1))^2}

Putting the given points in the formula we get,

x₂ = 0, x₁ = 5, y₂= -6, y₁= 6


=√((0-(5))^2 + (-6-(6))^2) \\=√((0-5)^2 + (-6-6)^2)\\=√((-5)^2 + (-12)^2)\\=√(25 + 144)\\=√(169)\\=13

So, the distance between two points is √169 or 13.

User Aldorado
by
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