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√(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}` .