Practice Test
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Start with evaluating the side length by dividing the perimeter by 3.
QR=2a+3b
We are given that equilateral triangle MNP has perimeter 12a+18b. Since an equilateral triangle has three congruent sides, we can evaluate the side length by dividing its perimeter by 3.
Write as a sum of fractions
a/b=.a /3./.b /3.
a/1=a
The side length of â–³ MNP is 4a+6b. Now, let's recall that, according to the Triangle Midsegment Theorem, the length of a midsegment QR will be half of the side length of this triangle.
a/c* b = a* b/c
Write as a sum
a/b=.a /2./.b /2.
a/1=a
The length of the midsegment is 2a+3b.