Question

What is the distance in units between (15,-17) and (-20,-5)

Answer 1

41.34

Explanation:

We can use the Pythagorean theorem to solve for the distance. First we will create an imaginary triangle with the leg lengths being the x distance and y distance between the 2 points and the hypotenuse being the distance between the 2 points.

x distance =

`15 - (-20) = 35`

y distance =

`|-17-5| = | - 22| = 22`

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle

xdistance²+ydistance²=distance²

35²+22²=distance²

1709=distance²

`√(1709) = distance`

In decimal form the distance would be around 41.34.

That is the answer

- Kan Academy Advance