Question

The quadrilateral has vertexes at (-1, 7), (-6, 1), (4, 1) and (-1, -5). Its sides are all the same length. How long is each side?

Answer 1

Use the distance formula to find the distance from (-1,7) to (-6,1)

Answer 2

Thank you :), the distance formula is d=sqrt(x2-x1)^2+(y2-y1)^2 right?

Answer 3

The distance formula is

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

In your case,

(x1,y1) = (-1,7)
(x2,y2) = (-6,1)

So you plug all that in to get

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (-6 - (-1))^2 + (1 - 7)^2 )

d = sqrt( (-6 +1)^2 + (1 - 7)^2 )

and I'll let you finish up. Tell me what you get.

Answer 4

You are correct

Answer 5

So what distance do you get?

Answer 6

sqrt61 ?

Answer 7

yep each side is \(\Large \sqrt{61}\) units long

Answer 8

thank you so much :)

Answer 9

yw