Question

Two points are located at (−3,5)

-3
,
5
and (6,1)
6
,
1
.

Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points

Answer 1

The distance would be
`\sqrt{97`.

Explanation:

The least distance between them would be to draw a straight line between them.

By calculating the distance between the y values and the x values, you can calculate the distance.

y values:

|5 - 1| = 4

x values:

|6 - -3| = 9

| | = the absolute value, meaning you change the final sign to positive.

Use the Pythagorean theorem
`a^2 +b^2=c^2` and substitute the numbers in.

`4^2 + 9^2=c^2 \\c^2 = 97\\c=\sqrt{97`