body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

Continue to next subchapter

Exercise 24 Page 608

Write a proportion using the Triangle Proportionality Theorem.

9.6

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 lengths of the segments. x/4=12/5 Let's solve it using the Cross Product Property.

x/4=12/5

▼

Solve for x

Cross multiply

x * 5=4 * 12

Multiply

5x=48

.LHS /5.=.RHS /5.

x=48/5

Calculate quotient

x=9.6

We found that x=9.6.

Subchapter links

1 Ratios and Proportions p.607

2 Similar Polygons p.607

3 Similar Triangles p.608

4 Parallel Lines and Proportional Parts p.608

5 Parts of Similar Triangles p.609

6 Similarity Transformations p.609

7 Scale Drawings and Models p.610