# math

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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?

• math -

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

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