Please help me with Geometry...?

Question

Find the distance between each pair of points (use the Distance Formula)

D: (-3,6)

F: (0,2)

Find distance between G and H

G: (-2,4)

H: (5,5)

Answer 1

Well all you need to do is find the length of the line between the two points which is of course the distance formula.

d (distance between the points) = square root(sr) of (x1-x2) squared + (y1-y2) squared(sq)

For the first question.

x1=-3, x2=0 y1=6 y2=2

d= sr of (-3-0)sq + (6-2)sq

d= sr of 9  + 16

d= sr of 25

d= 5

So the distance between D and F is 5 units.

For the second question.

x1=-2, x2=5, y1=4 y2=5.

d= sr of (-2-5)sq + (4-5)sq

d= sr of -7sq + -1sq

d= sr of 49 + 1

d=sr of 50

By using surds

sr of 50 becomes 5 root(radical) 2 which is the length between G and H