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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Cumulative Standards Review

Exercise 18 Page 486

Write a proportion using the Side-Splitter Theorem or its Corollary.

15/4 or 3 34

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 Side-Splitter 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. 5/x=4/3 Let's solve it using the Cross Product Property.

5/x=4/3

Cross multiply

5(3)=4(x)

▼

Solve for x

Multiply

15=4x

.LHS /4.=.RHS /4.

15/4=x

Rearrange equation

x=15/4

Although x= 154 is a perfectly valid solution, we can also express it as a mixed number, x=3 34.

Subchapter links

Exercises p.484-486