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Solution is confusing
Source: Beat The GMAT — Problem Solving |
I can only speak for myself, but I would imagine no one responded because no one knows how to interpret the point (?7, ?3).
I'll assume that ? means - and try to explain the question accordingly. (I thought it meant √ at first, but I wasted 5 minutes trying to solve it that way and getting a hideous answer.)
The distance from (-2, 9) to (-7, -3), using the distance formula, is √((-3-9)² + (-7 - (-2))²), or √(144 + 25), or 13.
The ratio of height to side is an equilateral triangle is x√3 :: 2x. (To see why, draw the height and notice that you've created two 30-60-90 triangles. So half the base is x, the height is x√3, and the side of the equilateral is 2x.)
So the sides are 13 * 2/√3.
Area is (bh/2), so (13 * 2/√3 * 13)/2, or 169/√3, or (169*√3)/3.
I'll assume that ? means - and try to explain the question accordingly. (I thought it meant √ at first, but I wasted 5 minutes trying to solve it that way and getting a hideous answer.)
The distance from (-2, 9) to (-7, -3), using the distance formula, is √((-3-9)² + (-7 - (-2))²), or √(144 + 25), or 13.
The ratio of height to side is an equilateral triangle is x√3 :: 2x. (To see why, draw the height and notice that you've created two 30-60-90 triangles. So half the base is x, the height is x√3, and the side of the equilateral is 2x.)
So the sides are 13 * 2/√3.
Area is (bh/2), so (13 * 2/√3 * 13)/2, or 169/√3, or (169*√3)/3.
lol.
what's interesting is that this isn't a copy/paste gone awry, but an actual screenshot posted as a picture file. Meaning that someone took a screenshot of a problem that already looked this way, and then posted it.
Original poster -- Did you not see the question-mark signs in the problem? Or is that some form of math notation that I've just never seen before?
what's interesting is that this isn't a copy/paste gone awry, but an actual screenshot posted as a picture file. Meaning that someone took a screenshot of a problem that already looked this way, and then posted it.
Original poster -- Did you not see the question-mark signs in the problem? Or is that some form of math notation that I've just never seen before?
Ron has been teaching various standardized tests for 20 years.
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Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
--
Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
--
Learn more about ron
--
Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi
--
Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.
Yves Saint-Laurent
--
Learn more about ron
