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vladimir2022 [97]
3 years ago
5

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

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

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

Step-by-step explanation:

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

d=\sqrt{(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=\sqrt{(-3-2)^2+(1-6)^2}\\\\\Rightarrow\ d=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ d=\sqrt{25+25}\\\\\Rightarrow\ d=\sqrt{50}\\\\\Rightarrow\ d=\sqrt{25\times2}\\\\\Rightarrow\ d=\sqrt{5^2\times2}\\\\\Rightarrow\ d=5\sqrt{2}\text{ units}

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

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