Question

Prove: The median of a trapezoid equals half the sum of its bases.

Answer 1

Diagram Provided

Answer 2

So whats MN equal to?

Answer 3

Use distance formula to find AB, DC, and MN. Then show that MN = (AB + DC)/2.
Another way is to extend AB and DC to the right to form an upside down adjacent trapezoid. You will see that the sum of the upper and lower bases is equal to twice the median.

Answer 4

@Mr._To can you show me what that looks like?

Answer 5

@Wired what it look like in distance formula?

Answer 6

Forgot the would

Answer 7

Are you sure?

Answer 8

im here what would u like to know spicifically
sorry 4 spelling

Answer 9

do you know MN equals to?

Answer 10

ya i think so give me just a sec:)

Answer 11

do you know any of the measurements that are in the shape like a= b= ect.

Answer 12

No sorry. but would mn equal ab and cd?

Answer 13

You know like for a final answer?

Answer 14

ok so i have a question you are not trying to find a # you are trying to find something like ab+ cd just give4 me an example answer

Answer 15

hold up.

Answer 16

here are two examples.

Answer 17

oh!!! is it the distance formula?
ill see wat i can do :)

Answer 18

I have no idea about geometry they change things allot and alg1and2 are easier.

Answer 19

N64, use the distance formula on those 3 lines.

Answer 20

@SmoothMath But how?

Answer 21

Or actually, the top and bottom ones, there's no formula needed. You can get it by inspection.

Answer 22

How long is the bottom base, N64?

Answer 23

@SmoothMath Is that the final answer.

Answer 24

wtf? No. I'm walking you through this. I've given nothing that could be construed as an answer.

Answer 25

I dont know what a bottom base is can you show me?

Answer 26

If you don't know how long the bottom base is, then it is because you are not looking or thinking about it at all. Seriously, half an ounce of effort for me, please.

Answer 27

ok i think i know is it
d square+ c squared/4+ a squared +c squared/4 check and see if it is correct i gtg so good luck :)

Answer 28

Yuki, please let him do this on his own in a guided way.

Answer 29

wait wait so what your both telling me is that distance formula involves letters and numbers?

Answer 30

Forget the distance formula, you don't need it.

Answer 31

Simply look. If you look, you will instantly see how long the bottom base is.

Answer 32

Literally to find the distances in this problem the only math you need is subtraction.

Answer 33

he has the recorses i tyhink u need to leave it in veriable form so u use wat u have and smart math if i want to i can no need to snap
the distance formula is given i n his exan the examples u gave me look at mn u thak the measure of m and that is the x aand y 1 and n is x and y 2 you use them in the distance form and then i believe u get the abnswer check if i anmwrong

Answer 34

well it look like this?\[MN=A+bcd/mn\]

Answer 35

sorry 4 typos

Answer 36

N64, I won't help you any further until you simply look at the picture and tell me how long the bottom base is. Hint: It's simple as effing pie.

Answer 37

@yukiwolf So it involves letters not numbers?

Answer 38

Well yeah. No numbers are given, so what numbers would you use?

Answer 39

Treat those letters as numbers though. They stand in the place of numbers because they are variables.

Answer 40

@SmoothMath do you want to draw a picture? not acting disrespectful.

Answer 41

if u are not given Any #s to begin with then yes

Answer 42

Okay, answer me some simple questions.

Answer 43

How long is this line: