Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
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Exercise 26 Page 482

Write a proportion using the Side-Splitter Theorem.

12

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. 16/12=x/x-3 Let's solve it using the Cross Product Property.
16/12=x/x-3
16(x-3)=12x
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Solve for x
16x-48=12x
16x=12x+48
16x-12x=48
4x=48
x=48/4
x=12