Question

Using the image, find the distance between the points given on the graph. Distance =√

Answer 1

I think 5m is the correct answer

Answer 2

Hello! The answer to your question is
`√(29)`, or approximately 5.39.

Explanation:

(Two methods)

Method 1:

To solve this problem, we will use the Pythagorean theorem. To create the triangle, you can connect all the points with lines. This will leave you with the base of the triangle as 2 and the leg as 5. We do not know the hypotenuse. Now, we can use the Pythagorean theorem formula:

`a^2 + b^2 = c^2`

`√(2^2 + 5^2 ) \\= √(4 + 25) \\= √(29)\\or 5.39`

Now, we can substitute our values:

Method 2:

To solve this problem, we will use the distance formula:

`√((x2 - x1)^2 + (y2 - y1)^2)`

Our points are:

A(-3, 1) and B(-1, -4)

Now, we substitute our values into the distance formula provided:

`√((-1 - (-3))^2 + (-4 - 1)^2) \\= √((-1 + 3))^2 + (-5)^2) \\= √((2)^2 + (-5)^2) \\= √(4 + 25) \\= √(29) \\or 5.39`