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1) Find the length of point A(-3,1) and B(2,6). Leave your
answer in RADICAL FORM ONLY.

User Keeno
by
7.9k points

1 Answer

7 votes

Answer: The length of point A(-3,1) and B(2,6) is
5√(2)\text{ units} .

Explanation:

We know that the distance between the two points (a,b) and (c,d) is given by :-


d=√((a-c)^2+(b-d)^2)

Given points = A(-3,1) and B(2,6)

Therefore the distance between the points A(-3,1) and B(2,6) is given by :-


d=√((-3-2)^2+(1-6)^2)\\\\\Rightarrow\ d=√((-5)^2+(-5)^2)\\\\\Rightarrow\ d=√(25+25)\\\\\Rightarrow\ d=√(50)\\\\\Rightarrow\ d=√(25*2)\\\\\Rightarrow\ d=√(5^2*2)\\\\\Rightarrow\ d=5√(2)\text{ units}

Hence, the length of point A(-3,1) and B(2,6) is
5√(2)\text{ units} .

User Oaklodge
by
8.4k points

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