Question

Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.

Answer 1

sorry i don't see a picture. But, I'll explain what should be seen. Make a right triangle. From the angle <B, where B is 90 degrees, draw an altitude down to CA. Call that point D. We see that ABC and BCD are similar triangles. BC/CD=AC/BC, so BC^2=AC*CD. Likewise, ADB is similar to ABC, so we get AB/AD=AC/AB, so AB^2=AD*AC.So we add these equations together for BC^2 and AB^2, to get AC*CD + AD*AC = AC(CD+AD) = AC^2 Thus, a^2 + b^2 = c^2 in a right triangle.

Answer 2

BTW, A would be at the top if the right triangle were standing on its shorter base. C would be on the other side on the bottom right. B would be on the right angle

Answer 3

OMG WHAT THE ANSWER!!!!!!!!!!!!!!!!!!!!!!

Answer 4

Figure B proves the Pythagorean Theorem.
As you may have noticed, the lengths given for both figures are already perfect squares. All you have to do is add the lengths of the legs to see if they equal the length of the hypotenuse/diagonal.
Figure A: 9 + 36 = 46... not 64
Figure B: 25 + 144 = 169... correct
Figure B proves the Pythagorean Theorem.
Pythagorean Theorem Formula: a^2 + b^2 = c^2
(The numbers are already squared, so just plug them in for a, b, and c, and see if it is a true statement.)

Hope this helps and I hope it made sense.

Answer 5

thank you so much princess

Answer 6

princess, you rock

Answer 7

WHO WOULD DO SUCH A THING?!?!?! WHY WHY WHYYYYYYYYYYYYYYYYYYYYYYYYY!!!!

Answer 8

Is he right

Answer 9

Thank you princess

Answer 10

Thanks princess❤️

Answer 11

i knew it was b just didnt know why, thx

Answer 12

The units of Figure A are clearly wrong, because when you add the two legs, the answer is 46 not 64. The calculations are wrong. By using a^2+b^2=c^2 you can determine figure B is the correct example for using the Pythagorean Theorem. Also the calculations are correct when you add the diagonal. Also, before you cheat and put this answer in, remember the only way to learn is too understand the information you are reading, if you don't understand the the subject of the Pythagorean Theorem, I suggest you do some research on it, instead of writing down words, and assuming its correct. You can get kicked out of school for this.

Answer 13

it would be 45 really do the math and you should get 45 i know my math i am in 9 grade and doing 11 grade math

Answer 14

thanks princess!!

Answer 15

pay day 2 if youre so smart why are you here?

Answer 16

yeah payday! also, this is 8th grade math so LIIIIIAAAAARRRR

Answer 17

u know 9 + 36 is 45 not 46

Answer 18

You are literally just talking to yourself

Answer 19

This chat is so cursed lmao

Answer 20

chienne

Answer 21

Pay day 2 stop acting like you know everything. It's clearly a typo. If you were half as smart as everyone on here put together you would have known that ;)

Answer 22

36+9=45 not 46

Answer 23

wow people these days lol..

Answer 24

dose anyone know all the answer for a test on usa test prep 8th grade mathematics its like 20 questions form connexus?

Answer 25

Don't forget we all have different answers so not my fault if you get any wrong:
3. (Which of these is a ration...) 1.3 d
4. (James attached a diagonal..)10 feet b
5. (which number is a perfect cube)5 a
6.(when adding 9 and -7) integer d
7. (what is 25/64)5/8 a
8. (mark needs to cut a piece of glass)5 feet b
9.(if the sail of the ship) 24 b
10. (four students work to find an)Carley b
11. (which of these nonterminat..)0.123123123123...
12.(george has a square sandbox) 13ft
13. (robbie draws)29
14. (which statement is true)every rational number can be written as a fraction

Answer 26

Gage is right :) thanks

Answer 27

Guys Gage is wrong don't listen to him

Answer 28

Thank you princess !!

Answer 29

then if ur doing 11th grade why u in 8th-grade math payday

Answer 30

Thanks Princess❤️❤️❤️

Answer 31

@random person yes ofc I do lol

Answer 32

I don't see how the Pythagorean Thearom while help us in life? I'm not just going to go outside and see a triangle and just be like " OkAy!~ nOw LeT MeE fIgUrE oUt ThE PhYtHaGoReAN tHeARoM tO THis"

LIKE NO dat is stupid-

Answer 33

Yall all I see is the comments is
Thank you princess so much ❤️
Bruh....nahhhhh I'm jp tyyyyy princess ✨👻

Answer 34

Yo I’m ur twin wassup!

Answer 35

For those that need help, the answer is Figure B in the Connection Academy Math Test.

Answer 36

princess is right about the answer but wrong about 9+36 bc 9+36= 45 not 46

Answer 37

what is number one!?

Answer 38

Thank you Princess! <3

Answer 39

final fantasy vii

Answer 40

Guys I did the calculations and the work and princess is correct use their answer, BUT DONT COPY AND PASTE BECAUSE THE TEACHERS CAN SEE IF YOU DID IT AND GIVE YOU A ZERO.

Answer 41

U truly are a princess.😏