SOLUTION: Equilateral Triangle MNP has perimeter 12a+18b. Line segment QR is a midsegment. What is QR?

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Question 325109: Equilateral Triangle MNP has perimeter 12a+18b.
Line segment QR is a midsegment.
What is QR?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First divide 12a%2B18b by 3 to find the length of one side: %2812a%2B18b%29%2F3=%2812a%29%2F3%2B%2818b%29%2F3=4a%2B6b


So each side is 4a%2B6b units long.


It turns out that any midsegment will be equal to half of the length of one side length (since we're dealing with an equilateral triangle). So the length of QR is %284a%2B6b%29%2F2=2a%2B3b units long.