Question

What is the length of AB?
Pic below, It will be a square root.

Answer 1

can you make a right triangle?

Answer 2

Yeah...

Answer 3

drop a line straight down. then over.

find the length of each side (count "boxes" )
then use a^2 + b^2 = c^2

Answer 4

sqrt((4-1)^2-(3-2)^2)

Answer 5

I know the pythagorean theorem...

Answer 6

I would use 3 and 1, right?

Answer 7

then you should see you have a width of 1 and height of 3

Answer 8

sqrt(10)

Answer 9

Yeah Phi.

Answer 10

So 1^2=1 and 3^2=9

Answer 11

yes, add together and you have c^2
take the square root to get c

Answer 12

10^2=100, but the answer is 10?

Answer 13

slow up

a^2 + b^2 = c^2
1 + 9= c^2
10 = c^2

Answer 14

Oh so I need the square root of ten?

Answer 15

yes

Answer 16

3.1?

Answer 17

Or 100?

Answer 18

unless they want decimals I would leave it
\[ \sqrt{10} \]
that is exact. (If someone want to get the approximate answer, they can use a calculator)

Answer 19

Okay! ^.^ Thanks for your help!

Answer 20

\[ c^2 = 10 \\ \sqrt{c^2} = \sqrt{10} \\ c = \sqrt{10} \]

Answer 21

notice if you squared both sides you would be doing this
\[ c^2 = 10 \\ \left(c^2\right)^2 = \left(10\right)^2 \\ c^4= 10^2 \]
which is not what we want

Answer 22

Yeah, I get that.