Question

GEOMETRY EMERGENCY!!! fan+medal+testimonial

Prove the Converse of the Pythagorean Theorem using similar triangles.

Answer 1

@nincompoop @confluxepic @jigglypuff314 @sleepyjess

Answer 2

I can help! :D

Answer 3

welcome to os :D

Answer 4

Thank goodness

Answer 5

XD
So Pythagorean Theorem = a^2 +b^2 = c^2
correct?
I have to guide you to the answer so bear with me.

Answer 6

right

Answer 7

this is the full question: Prove the Converse of the Pythagorean Theorem using similar triangles. The Converse of the Pythagorean Theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse, the triangle is a right triangle. Be sure to create and name the appropriate geometric figures.

Answer 8

If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle

so if we have...
is it a right triangle?

Answer 9

no

Answer 10

okay now show me how you got to that answer using the Pythagorean theorem

Answer 11

ugh idk I'm so confused

Answer 12

I've been trying to do this for hours

Answer 13

so \[a^2+b^2=c^2\]
c^2 = hypotenuse.
so if it was a right triangle it would be
\[3^2+5^2=34^2\]
9+24=1156
34=1156
they arent equal, so it cant be a right triangle

Answer 14

Oh that was actually what I was doing but it seemed wrong to me

Answer 15

lets try another triangle and see if you can do it again :D

Answer 16

a2+b2=c2
9 + 16 = 25
25 = 2

Answer 17

25 = 25 sorry

Answer 18

so it is a right triangle

Answer 19

so is it a right triangle or not?

Answer 20

yes

Answer 21

goodjob. you did it/

Answer 22

youve proven the theorem.

Answer 23

so what would be my final answer?

Answer 24

yu put the examples I gave you down, and then you put down how you solved them, and thats your answer.

Answer 25

thank you so much :) I'll write a testimonial as soon as I finish the test

Answer 26

you did not prove the theorem. You cant prove by example. You need to show its true for the general case.

Answer 27

@Rhonasommer

That is like if I asked you to prove the square of every number is even.

Then you say 2^2 is even and 4^2 is even so it must be true.

But of course it is not true.

Answer 28

http://www.qc.edu.hk/math/Junior%20Secondary/Converse%20of%20Py%20th.htm

Answer 29

"Prove the Converse of the Pythagorean Theorem using similar triangles."

Answer 30

^ what I did.

Answer 31

correct, you did not do that

Answer 32

o.0 alright. I hand off the baton to you. Good luck! :D

Answer 33

no you did not, you proved it for a few example.

Answer 34

you need to prove it FOR ALL example.

Answer 35

Read the link I posted.

Answer 36

I handed off the baton :D you explain it. :D

Answer 37

The link explains it...

Answer 38

but we arent supposed to give links. we are supposed to explain it.

Answer 39

The link explains it....You can post all the links you want.