Question

Look at the rectangle and the square: a rectangle pqrs and square lmno are drawn side by side. the length sr of the rectangle is labeled as 12 inches, and the width qr is labeled as 6 inches. the side lm of the square is labeled as 6 inches. sam says that the length of diagonal sq is two times the length of diagonal om. is sam correct? justify your answer and show all your work. your work should state the theorem you used to find the lengths of the diagonals

Answer 1

Can u post the pic of the shapes?

Answer 2

do you can calcule the length of these diagonals ? (rectangle and square ?

Answer 3

SQ = ?
OM = ?

Answer 4

just use Pythagora's theorem

Answer 5

I did. But the question is asking to show my work and honestly i have no clue how to.

Answer 6

how you get the length of SQ ?

Answer 7

there is a right triangle for what you need calcule the length of hypotenuse

Answer 8

I know that i have to half the rectangle, and use the formula for pythagorean theorem, but i dont know how to set it up.

Answer 9

ok just make what i ve said please

Answer 10

there is the right triangle QRS how you calcule the length of hypotenuse ?

Answer 11

a^2+ b^2 =c^2......6^2 + 12^2 = c^2.....36 + 144 = c^2.....180 = c^2.....I have to do the square root of 180 and i get 13.41.

Answer 12

not is necessary remember the length of QS = sqrt 180

yes ?

so and now please calcule the length of OM ?

Answer 13

heay ? are you there ?

Answer 14

Yes Hold on

Answer 15

ok please calcule than the length of OM

Answer 16

Ok, if I half the square i get

Answer 17

sorry what is this ?

Answer 18

this is a right triangle with sides length 6 and 6 and you need calcule the length of hypotenuse

Answer 19

ok so the length of OM is sqrt 72

yes ?

Answer 20

me solving it..........................a^2+b^2=c^2...6^2+6^2=c^2.......36+36=c^2.....72=c^2

Answer 21

Yes, yes it is

Answer 22

so you get in the first for QS sqrt180 and for OM sqrt 72

and what you need to prove it now ?

Answer 23

Im confused, is that the answer.

Answer 24

The question asks is the kid right?

Answer 25

or wrong

Answer 26

sam says that the length of diagonal sq is two times the length of diagonal om.

Answer 27

how you write this ?

Answer 28

It is

Answer 29

I have no clue.

Answer 30

QS sqrt180 and for OM sqrt 72

sqrt 180 = 2*sqrt72

is this true ?

prove it

Answer 31

how you prove this ?

Answer 32

Idk

Answer 33

look please what you get than squared both sides ?

Answer 34

Sorry my bad. Sam is wrong because the square root of 72 is not equal to the square root of 45

Answer 35

eliminate the radicals

Answer 36

How do i do that?

Answer 37

sqrt72 ok but how you get this sqrt45 ?

Answer 38

sqrt 180 = 2*sqrt72 both sides squared

sqrt180 *sqrt180 = (2*sqrt72)*(2*sqrt72)

Answer 39

Sorry, the double of square root 45 is equal to square root of 180

Answer 40

look please what i ve wrote above and make the calcule

Answer 41

(sqrt180)^2 = (2sqrt72)^2

Answer 42

(sqrt180)^2 = ?

Answer 43

you dont know ?

Answer 44

sorry thats 180

Answer 45

yes and (sqrt72)^2 = ?

Answer 46

72

Answer 47

yes and (2sqrt72)^2 = ?

Answer 48

288

Answer 49

yes

and now compare please

180 is equal 288 ?

Answer 50

no

Answer 51

so the answer ?

Answer 52

Sam isn't correct.

Answer 53

yes

ok now ?

Answer 54

now what.......

Answer 55

THERES MORE

Answer 56

do you understand it clearly

yes ?

Answer 57

step by step

Answer 58

ok so bye bye

Answer 59

THANKSSS!!!

Answer 60

ok was my pleasure

any time

Answer 61

yw