All the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line segment that can be drawn joining any two dots in the array without passing through any other dot?
A. 2
B. 2√2
C. 3
D. √10
E. √20
[spoiler]Source: majortests.com[/spoiler]
dots in the array
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- sanju09
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The longest line segment it's created when we connect points on opposite sides of the diagonal.sanju09 wrote: ↑Fri Jul 23, 2010 3:25 amAll the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line segment that can be drawn joining any two dots in the array without passing through any other dot?
A. 2
B. 2√2
C. 3
D. √10
E. √20
[spoiler]Source: majortests.com[/spoiler]
HOWEVER, this does not meet the condition that the line cannot pass through any other point
So, the next longest line segment looks something like this:
Since we have a right triangle, we can apply the Pythagorean theorem to write: 2² + 4² = x²
Simplify: 20 = x²
Solve: x = √20
Answer: E
Cheers,
Brent