Question

Which of the following lengths is the greatest?

the diagonal of a square with 4-in. sides

the hypotenuse of a right triangle with legs of length 3 in. and 4 in.

the diagonal of a rectangle with sides of length 5 in. and 12 in.

the perimeter of a square with side lengths of 1 in.

Answer 1

Help please○

Answer 2

what would be the length of the diagonal of with 4-inch sides?

Answer 3

\[4^{2}+4^{2}=c ^{2}\]
\[16+16=c\]
\[32=c ^{2}\]
The square root of 32 is 5.7 estimated.

Answer 4

yep

Answer 5

for the second choice, the side are 3 and 4, would that be larger or smaller than the first choice

Answer 6

\[3^{2}+4^{2}=c ^{2}\]
\[9+16=c ^{2}\]
\[25=c ^{2}\]
The square root of 25 is 5.

Answer 7

so it should be smaller

Answer 8

the third option is the same but with side lengths 5 and 12

Answer 9

you don't have to use the formula, you can just tell that it should be larger

Answer 10

okay

Answer 11

Do you understand that?

Answer 12

yes

Answer 13

ok, so how would you find the last choice?

Answer 14

The third option is 13 so it is bigger

Answer 15

I dont know what to do with the last choice.

Answer 16

how do you find the perimeter?

Answer 17

Add 4 sides of the square or rectangle

Answer 18

yep, what do we know about the sides of a square?

Answer 19

the sides are 1 in

Answer 20

ok, so what is the perimeter?

Answer 21

4 inches

Answer 22

that's right

Answer 23

so which option has the largest length?

Answer 24

so the answer would be the third option

Answer 25

that's right, good job!

Answer 26

the diagonal of a rectangle with sides of length 5 in. and 12 in.

Answer 27

thanks so much can you help me with some more. I'll t

Answer 28

tag you..

Answer 29

sure

Answer 30

and give you medals okay hold on