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Geometry

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by tsmith93 » Wed Mar 03, 2010 6:00 pm
R, S, and T are points with RT = 2RS. Which of the following could be true? (more than one choice is a possible answer)

I. R, S, and T are the vertices of a right triangle.
II. R, S, and T are three of the vertices of a square.
III. R, S, and T all lie on the circumference of a circle.
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Source: — Problem Solving |

by November Rain » Thu Mar 04, 2010 2:59 am
I would say that only III could be possible[/spoiler]
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by sanju09 » Thu Mar 04, 2010 3:16 am
tsmith93 wrote:R, S, and T are points with RT = 2RS. Which of the following could be true? (more than one choice is a possible answer)

I. R, S, and T are the vertices of a right triangle.
II. R, S, and T are three of the vertices of a square.
III. R, S, and T all lie on the circumference of a circle.
The right triangle is YES possible with R, S, and T as vertices and hence, R, S, and T all may lie on the circumference of a circle as well; but the given specification cannot make R, S, and T as three of the vertices of a square.

[spoiler]I & III[/spoiler]
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by November Rain » Thu Mar 04, 2010 4:29 am
Ooops! Its true Sanju is right

Somehow, i wrongly assumed that triangule would be made out of 1 side RT and 2 sides RS, and that would not be possible.
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