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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 28 Page 482

Write a proportion using the Side-Splitter Theorem.

77

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 on the transversals are proportional. Let's write a proportion using the expressions for the lengths of the segments. 63/45=x/55 Let's solve it using the Cross Product Property.

63/45=x/55

Cross multiply

63 * 55 = 45 * x

▼

Solve for x

Multiply

3465 = 45x

Rearrange equation

45x = 3465

.LHS /45.=.RHS /45.

x = 3465/45

Calculate quotient

x = 77