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.
Hi, I have this for RSM too, the answer is the Pythagorean theorem converse. Hope I has helped you guys.
same i had it for rsm too
yea when we meant proof we meant statement and reason. rsm sucks :(
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 did it and it says the correct answer was pythagorean theorem converse.
i dont know why
i just guessed
for rsm
Does anyone have this with a proof?
thx so much
rsm kinda boring now
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.