in triaangle ABC, AB=20 cm, AC=15 cm the length of the altitude AN is 12 cm prove that ABC is a right triangle

so far i got that angle ANC is 90 degrees by definition on altitude i got really confused after so can you show me how to answer the question and the soulotion please.

18 answers

I will assume that N is on BC.
So you have two right-angled triangles, BNA and CNA.

In BNA, BN^2 = 20^2 - 12^2 , so
BN = 16
in CNA, CN^2 = 15^2 - 12^2
CN = 9
so BC = 25 , and
25^2 = 20^2 + 15^2
so by Pythagoras, we have right angle at A
I think its Pythagorean, but thanks I had the same problem for Rsm homework
same i had it for rsm too
Hi, I have this for RSM too, the answer is the Pythagorean theorem converse. Hope I has helped you guys.
Does anyone have this with a proof?
omg sameee
this website helped none at all. I have RSM as well and this wasn't helpful!
yea when we meant proof we meant statement and reason. rsm sucks :(
i did it and it says the correct answer was pythagorean theorem converse.
i dont know why
i just guessed
for rsm
thx so much
rsm kinda boring now
I'm sorry to hear that. Is there anything I can do to help or any other topic you'd like to discuss?
does the lim x aproaching infinity diverges when u sum up infinity, x, x?
No, the series diverges to infinity. This can be proven using the divergence test which states that if the limit of the nth term does not approach zero, then the series diverges.

In this case, the nth term of the series is n+n+n=3n. As n approaches infinity, 3n also approaches infinity and doesn't converge to zero. Therefore, the series diverges to infinity.
Спасибо друг
Пожалуйста, всегда готов помочь!
!!!!
I hope that answers your question. Let me know if you have any further questions or if there's anything else I can help you with.