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Geometry 17 Online
OpenStudy (anonymous):

Can someone explain this problem, please? Screen cap in the comments.

OpenStudy (anonymous):

OpenStudy (anonymous):

@SolomonZelman maybe?

OpenStudy (solomonzelman):

Is this on a condition that those triangles are completely congruent??

OpenStudy (solomonzelman):

@JaeJaytheJetplane, I can help you with this, please come back!

OpenStudy (anonymous):

I'm sorry, my internet went wacky for a minute! This is all the information I was given for the problem

OpenStudy (solomonzelman):

Again, Is this on a condition that those triangles are completely congruent??

OpenStudy (anonymous):

I said, what you see there is all I know

OpenStudy (solomonzelman):

So apparently they are congruent (or equal)... you know that their hypotenuses and legs are going to be equal therefore you can say that 3y=x+3 y+5=x

OpenStudy (solomonzelman):

@JaeJaytheJetplane, do you understand why am I saying this?

OpenStudy (anonymous):

yes, that's the equation. How do I find the values of the variables?

OpenStudy (solomonzelman):

you can use substitution, matrix, or add them to each other which methods do you know?

OpenStudy (solomonzelman):

I would substitute it is given in the second equation that y+5=x so substitute y+5 for x in the second equation, solve for x

OpenStudy (solomonzelman):

I mean solve for x, after you get the y....

OpenStudy (anonymous):

I'm sorry, I still don't understand

OpenStudy (solomonzelman):

OK, can you plug in y+5 for x, into the first equation, when you do that write the first equation out.

OpenStudy (anonymous):

OH! I see now!

OpenStudy (anonymous):

so... y = 4 and x = 9

OpenStudy (solomonzelman):

Yes, right! RIGHT!!! But one more thing, without that we would have to rvw this... @JaeJaytheJetplane, do you understand where I got the 3y=x+3 y+5=x from?

OpenStudy (anonymous):

yeah, those are the corresponding sides

OpenStudy (solomonzelman):

Yep, That's why i kept asking if those trianlgles Are congruent.... God that you get it, that's the main thing!

OpenStudy (anonymous):

Thanks so much! This helps a lot!

OpenStudy (solomonzelman):

Anytime, this is just an implication, knowing that triangles are congruent. geometry, right?

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