math
posted by brwe on .
Let PSR be a triangle. Let A, B, C be the midpoints of the sides PS, PR and SR respectively.
The following numbers 2,3,4 and 6 are lengths in inches of the three segments: AB, AC and BC and one of the sides of the given triangle PSR.
Question: Which of the 4 lengths (2,3,4 or 6) represents the side of the given triangle PSR?
Please help me as soon as you can.

You are dealing with the midpoint theorem, which says,
The line joining the midpoints of any two sides of a triangle is parallel to and exactly one half the length of the third side.
Since 6 is twice 3, it must be the 6
BTW, the other two sides of the triangle would then be 4 and 8