Question

What is the length of the diagonal in the rectangle below? Round to the nearest hundredth.

http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-CA10/a/assessments/L-LinesCoordinatePlaneUnitExam/Geometry_Unit3_Exam_26q2.gif

Answer 1

please help me

Answer 2

This is just like the other one. You want to find the distance between two points that are on an angle to each other. So say you want to find the distance between A and C (I just picked 2, B and D is the same thing).
Use the pythagorean theorem again,
A will be the distance between points A and D
B will be the distance between points D and C.

Answer 3

oh geez.

Answer 4

Did I lose you? Or was that a good "oh geez" ?

Answer 5

you lost me

Answer 6

I'll make another image, one sec.

Answer 7

i need the lenghth of line bd

Answer 8

The length is the same, it doesn't matter which way you go, since this is an even rectangle. But even going that way it's the same idea I explained, just going that direction.

Answer 9

okay what numbers do i use

Answer 10

You have to find them yourself in this case.
So, say you're doing it my way, to find A, it's the length from A to D in the original image.
So A is 3 up from the axis, and D is 2 down. So the total distance is the combination of these or 3+2.

Answer 11

so are my numbers 5 and 9

Answer 12

if so im confused again because i got 106 and u cant square root that

Answer 13

You're doing it right. You've got the right numbers, and the right answer. Look back up at your problem "Round to the nearest hundredth." That says you're going to get a crazy decimal. Just round it off like it asked, and you're good.

Answer 14

so 110 ?

Answer 15

oh hundredth so 100 so my answer is 10 again

Answer 16

No. Hundredth as in the second digit after the decimal after you take the sq root
So the sq root of 106 is 10.295630140987000315797368464198....
Round that to the nearest hundredth.

Answer 17

Tenth is the first digit after the decimal,
Hundredth is the second
Thousandth is the third
etc.

Answer 18

is my answer ten

Answer 19

No. Your answer will be the number I posted, rounding to the nearest hundredth. So rounding all that so there are only 2 digits after the period.

Answer 20

im so confused again on something simple

Answer 21

Since you want to round to the hundredth, you look at the next number after that to know which way to round.
So you want your answer to look like : 10._ _
You have 10.29, but you need to round, so look at the next number
So now we're looking at 10.295.
Usually when rounding when the number you're looking at is between 0 and 5 you round down / do nothing. When the number is 5 to 9 you round up.

So now what do you think the answer is?

Answer 22

10.23

Answer 23

Where did the 3 come from?

Answer 24

or 10.30

Answer 25

Yes, 10.30 is correct.