McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Practice Test
Continue to next subchapter

Exercise 10 Page 611

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.

12a+18b/3
12a/3+18b/3
4a/1+6b/1
4a+6b

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.

1/2*(4a+6b)
4a+6b/2
4a/2+6b/2
2a/1+3b/1
2a+3b

The length of the midsegment is 2a+3b.