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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Parallel Lines and Proportional Parts

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Exercise 10 Page 577

Write a proportion using the Triangle Proportionality Theorem.

6

Practice makes perfect

Let's analyze the given figure. Since we are given a triangle with a line that is parallel to one of its sides, we can use the Triangle Proportionality Theorem.

The lengths of the segments intercepted by the parallel line are proportional. Let's write a proportion using the expressions for the lengths of the segments. AB/BC=AE/ED ⇕ 6/4=9/ED Finally, we will solve this equation for ED.

6/4=9/ED

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Solve for ED

LHS * ED=RHS* ED

6/4ED=9

LHS * 4=RHS* 4

6ED=36

.LHS /6.=.RHS /6.

ED=6

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Exercises p.577-581