- #1
Boris Leykin
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In a right-angled triangle hypotenuse equals 10, altitude equals 6. What is the area of the triangle?
Answers: 60, 30, 24, 16
Answers: 60, 30, 24, 16
VietDao29 said:Well, it really looks like a homework problem. >"<
Boris Leykin said:Of course not, it is a standart test.
Why not 30, tell me?
Area of a triangle equals half product of altitude by base side
symbolipoint said:My approach may be based on a misunderstanding, so check your textbook;
but, if "altitutude" means the distance from the vertex of the right-angle to the closest point on the hypotenuse, then area would be half of base times altitude, or one half of 10 x 6, which would be 30.
As I said, I may have mishandled some of the terminology in interpreting the exercise, so check your textbook about this topic.
Boris Leykin said:Aaaaahhhhaaa! Got you.:rofl:
You are wrong, such a triangle with hypotenuse 10 and altitude to hypotenuse 6 does not exist. 24 is the correct answer. This is another http://golem.ph.utexas.edu/category/2007/06/more_mysteries_of_the_number_2.html" Oooohhhh.
JohnDuck said:I fail to see why this is amusing. It's only "tricky" because of ambiguous wording--if you interpret it such that one of the legs has length 6, then you'll get the answer 24 (which it seems everyone on the poll chose except you). If you interpret it as symbolipoint did, then you fall prey to a flawed premise from a trusted source. Is symbolipoint at fault because you (apparently intentionally) deceived him? Very unsporting of you, really.
6. In a right-angled triangle (in american standart exam) hypotenuse equals 10, altitude to hypotenuse equals 6. What is the area of the triangle?
For 10 years american schoolchildren successfully solved this problem, but then from Moscow russians came, no one could solve it like americans did (who gave the answer 30). Why?
That's not the question you initially asked.Boris Leykin said:6. In a right-angled triangle (in american standart exam) hypotenuse equals 10, altitude to hypotenuse equals 6. What is the area of the triangle?
Without knowing the particulars of Russian syntax, I honestly couldn't say. However I would note that it is not stated from which part of america the students were from.Boris Leykin said:For 10 years american schoolchildren successfully solved this problem, but then from Moscow russians came, no one could solve it like americans did (who gave the answer 30). Why?
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