Question

What is the distance between the point (3,6) and the midpoint of the line segment connecting (5,6) and 7,-2)?

a. 3 units
b. 5 units
c. 9 units
d. 25 units

Answer 1

First find the midpoint of the line segment connecting (5, 6) and (7, -2) by using the midpoint formula.

Midpoint formula: \[(x, y) = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)\]

Answer 2

distance between two points = ((x1-x2)^2-(y1-y2)^2)^(1/2)

Answer 3

wait hes suggesting a different formula 0_o

Answer 4

mid point = (6,2)
distance = 5

Answer 5

first you have to find the mid point, then apply the formula to find distance between two points

Answer 6

First you need to use the midpoint formula to find the required coordinates of the midpoint of the given line segment joining (5, 6) and (7, -2) and then you use the distance formula as stated above to find the distance between the point (3, 6) and the midpoint you got above

Answer 7

Oh ok

Answer 8

and do you guys see any traps in this problem? i need to list traps

Answer 9

The problem seems alright. You can easily get the answer using the two formulas stated above. Did you get the answer?

Answer 10

No not yet.

Answer 11

i must be doing something wrong in the distance formula cuz im not getting 5

Answer 12

Okay. Did you get the midpoint coordinates?

Answer 13

yeah (6,2)

Answer 14

The distance formula is
\[D = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\]
You should get 5

Answer 15

i keep getting -7

Answer 16

6-3^2+2-6^2
3^2+(-4)^2 and idk what im doing wrong :/

Answer 17

As far as you have done it it is correct. What are the next steps?

Answer 18

9+(-16) but when i sqrt is comes to -7

Answer 19

-4 squared equals 16 since negative times negative is positive

Answer 20

oh i was doing something wrong with the calculator

Answer 21

ok now i got 5

Answer 22

Great!