Question

Shelley drew a line segment connecting point G (18,6) and point H (7,12) on a coordinate grid what is the length of GH

Answer 1

12.53 units to the nearest hundredth.

Explanation:

The formula for this length = √[ (x2 - x1)^2 + (y2 - y1)^2 ]

GH = √[ (12-6)^2 + (7-18)^2 ]

= √ ( 36 + 121)

= √(157)

= 12.53 units.

Answer 2

sqrt( 157)

Explanation:

To find the length of the line, we are finding the distance

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

sqrt( (12-6)^2 + (7 -18)^2)

sqrt ( 6^2 + (-11)^2)

sqrt( 36+121)

sqrt( 157)