Question

If x = 17 cm and y = 8 cm, what is the length of z?

Answer 1

A 13 cm
B 15 cm
C 14 cm

Answer 2

Okay, we showed you how to do it, time for you to do one yourself :-)

Answer 3

This is a little bit different, as this time you know the length of the hypotenuse, and don't know the length of one of the sides. Same formula, though.

Answer 4

^

Answer 5

@whpalmer4

Answer 6

yea hes right try it for yourself !

Answer 7

im sure you can do it

Answer 8

Come on, @katieeeeeeeee !

Answer 9

I don't know what to do

Answer 10

As I told you, the sum of the squares of the lengths of the two legs of the triangle will equal the square of the length of the hypotenuse. Write out the equation that states that.

Answer 11

z2 +x2=y2

Answer 12

Close, but no cigar. First, we use ^ to indicate an exponent. z^2 = z*z

Second, which are the two legs?

Answer 13

Your getting it...

Answer 14

Okie doke, square root 17 and 8

Answer 15

y and z, right? So you need to square y, square z, and add them together. The sum is the same as x squared. Can you write the equation for that?

Answer 16

y2 and z2

Answer 17

Correct as well whpalmer4 :)

Answer 18

Remember, katie, you need the ^ (found on the 6 key, usually) between the letter and the number, if you mean an exponent.

Answer 19

\[z^{2}+y^{2} = x^{2}\]

Answer 20

\[a^2 + b^2 = c^2\]



It's just backwards,

\[8^2 + b^2 = 17^2\]

Solve for B by squaring both 8 and 17

8^2 = 64
17^2 = 289

64 + b = 289

Basically just subtract 64 from both sides and that's B

Answer 21

Y^2 and Z^w

Answer 22

Yep simple algebra at the end. :)

Answer 23

And an equation needs an = sign.

You have three quantities: x^2, y^2, and z^2
You have two equation symbols: +, =

Write an equation that uses all 5 of those items and equates the sum of the squares of the two legs (y^2 and z^2) with the square of the hypotenuse (x^2)

Answer 24

z^2 + (8)^2 = (17)^2

Answer 25

z^2 + 64 = 289

Answer 26

z^2 = 225

Answer 27

I'm really impressed that everyone else knows how to solve this problem, but it would be most helpful for @katieeeeeeeee if she had the opportunity to do it...

Answer 28

z = 15

Answer 29

You're given y, where y is it's where A is -- the original formula is A^2 + B^2 = C^2

Technically it would be y^2 + x^2 = z^2

Answer 30

i square rooted z^2 and 225

Answer 31

so I got z = 15

Answer 32

Teamwork here. :)

Answer 33

@tHe_FiZiCx99 No, the equation is \[y^x + z^2 = x^2\]because \(x\) is the hypotenuse of this triangle, not \(z\).

Answer 34

make that \[y^2 + z^2 = x^2\]

Answer 35

We, did that already

Answer 36

I kept mixing them up, :/ the z shoudl have copied over to the right side

Answer 37

the problem is solved

Answer 38

if you read through the answers, i left a step by step solution

Answer 39

if by "the problem is solved" you mean "katie got an answer, but probably couldn't do the problem on her own", then I agree.

Answer 40

as well as other people

Answer 41

^^

Answer 42

no, everyone left a step by step solution

Answer 43

The point of OpenStudy is to get it so that katie can find the solution herself.

Answer 44

lol

Answer 45

if katie doesn't get it now, she will need to ask her teacher