Question

What is the length of the diagonal segment AC in the trapezoid below? Round to the nearest hundredth.

Answer 1

anyone.........

Answer 2

Just to be sure what are the coordinates for abcd

Answer 3

well im supposed to find the coordinates of A and C only i think..

Answer 4

thats not part of your question "finding the coordinates"

Answer 5

sorry idk what im doing right now

Answer 6

In this diagram you can essentially ignore any extra distance between the two points because you just need the distance between them. Do you know what the Pythagorean theorem is?

Answer 7

spectrum is assuming you already KNOW the coordinates

Answer 8

If he just needs the distance then I'm assuming those coordinates are exactly how they look and not decimals. I was asking for clarification camper.

Answer 9

the coordinates for A are (-3,4)

Answer 10

You can use pythagorean theorm here since they are so precise or you can use the distance formula. The latter being more reliable.

Answer 11

can you just tell me what to do so i can understand?

Answer 12

The theorem treats this picture like a triangle. With the distance between a and c being one of the lines. If you look at campers picture (ty btw) ull see a triangle made.

Answer 13

The equation is a^2 + b^2 = c^2. C^2 is the line you are after. So what is the length of the other two lines?

Answer 14

which line

Answer 15

In this picture. The length of the yellow and green lines.

Answer 16

so im not supposed to find the points right

Answer 17

Not if you are just trying to find the length. You should already have the points in the picture.
Find the lengths of the green and yellow lines by counting the units across and down.

Answer 18

the units for the yellow line are 10 and the units for the green are 2

Answer 19

awesome. now....

Answer 20

if you have a right triangle. that is 10 long and 2 high. how do you find the third side?

Answer 21

i have no idea

Answer 22

are you in trigonometry?

Answer 23

no geometery

Answer 24

okay did they teach you about "the pythagorean theorem"

Answer 25

wait....i think

Answer 26

well you should memorize it. it is very important. why don't i just tell you what it is

Answer 27

yes please

Answer 28

in this triangle we can find out how long C is

Answer 29

\[A^2 + B^2 = C^2\]

Answer 30

respond so that i know you understand

Answer 31

i dont understand

Answer 32

what don't you understand about it. how to use it? or why it works?

Answer 33

no like in the question i dont understand how to find C

Answer 34

i..........i just.........

Answer 35

\[A^2 + B^2 = C^2\]

Answer 36

wait i think i got it

Answer 37

then tell me

Answer 38

You use that equation to find C. A is the line that is 2 units long, B is the line that is 10 units long. 2^2 +10^2 = C^2 Which is 4 + 100 = C^2. from here its 104 = C^2. you Need to find C so what would you do to get c by itself if its squared?

Answer 39

16000

Answer 40

not even close

Answer 41

no sorry its 10816

Answer 42

if there were a decimal point in there somewhere you would be closer

Answer 43

would you mind telling me exactly EXACTLY the steps you took to get 10816

Answer 44

It's crazy cause in calculus, you learn how to `transform` these using the Jacobian method. I think it's super cool but super intense ~.~

Answer 45

2^2 + 10^2 = C^2, 4 + 100 = 104^2,

Answer 46

no

Answer 47

and thats how i got it

Answer 48

well you got the right idea but

Answer 49

You almost had it. But 104 is not just c its c^2. To get C you have to square root 104, not square it.

Answer 50

ok so its 10.19?

Answer 51

BAM done

Answer 52

ok Thanks alot!

Answer 53

who wants a medal

Answer 54

lmao ^

Answer 55

Lol ganeshie8, such a saint lol.