Question

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

Answer 1

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 $5\sqrt{2}\text{ units}$ .