Question

can someone show me how to do THE PYTHAGOREAN THEOREM

Answer 1

\(a^2 + b^2 = c^2\)

Where 'a' and 'b' are the two legs of the right triangle, and 'c' is the hypotenuse.

This is used to find the other sides of a right triangle only.

Answer 2

@KenichiIvy I believe you have the formula wrong.

Answer 3

Lets say we have a right triangle with the legs 6 in and 9 in. Now we need to find the hypotenuse. We substitute those numbers into the Pythagorean Theorem, \(a^2+b^2=c^2\) to find the hypotenuse. a and b are the legs, c is the hypotenuse.
\(6^2+9^2=c^2\)

Answer 4

Thanks for the correction @iGreen.

Answer 5

dido

Answer 6

Now, we square 6 and 9, giving us \(36+81=c^2\). Add 36 and 81, gives us 117. So now we get \(117=c^2\). Now take the square root of both sides, and that is it.

Answer 7

and how is it completed i see square roots

Answer 8

We get \(\sqrt{117} = c\), so that is the hypotenuse. If you want to put \(\sqrt{117}\) into a calculator to get the exact value, then you can.

Answer 9

????

Answer 10

Ok, so we need to solve that one?

Answer 11

yes

Answer 12

Ok, can you do the first step of substituting in the known values?

Answer 13

?????????????? x(

Answer 14

We have 2 known values, 4 and 7. Those can be substituted for a and b into the Pythagorean Theorem.

Answer 15

oh 4sq*7sq=Csq correct?

Answer 16

Yes! Now what is \(4^2\)?

Answer 17

i mean +

Answer 18

oh yes, I didn't catch that haha
I will be right back :)

Answer 19

k

Answer 20

ok, I'm back
so what is \(4^2\)?

Answer 21

4*4 witch is 16 correct?

Answer 22

Yep, now \(7^2\)?

Answer 23

7*7=42?

Answer 24

Close, 42 is 7*7. 7*7 = 49

Answer 25

\(\color{blue}{\text{Originally Posted by}}\) @sleepyjess
Close, 42 is 7*7. 7*7 = 49
\(\color{blue}{\text{End of Quote}}\)
Correction, 42 is 7*6

Answer 26

k

Answer 27

So now we get \(16+49=c^2\)
What is 16+49?

Answer 28

65

Answer 29

Yep, now the square root of 65

Answer 30

and \(\sqrt{c^2}\) which is just c

Answer 31

65*65=4225

Answer 32

The square root, not squared. Squared is \(65^2\), square root is \(\sqrt{65}\)

Answer 33

k so 8.062

Answer 34

Yep :)

Answer 35

k thanx

Answer 36

Lastly, welcome to OpenStudy! If you have any questions about the site, feel free to ask me ^_^

Answer 37

k will do