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McGraw Hill Integrated II, 2012 View details

1. Geometric Mean

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Exercise 55 Page 627

Write a proportion using the Triangle Proportionality Theorem.

10

Practice makes perfect

Let's analyze the given figure.

Since we are given that MN is parallel to PQ, we will be using 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. 15-x/x=4/8 Let's find x using the Cross Product Property.

15-x/x=4/8

CrossMult

Cross multiply

8(15-x)=4x

▼

Solve for x

Distr

Distribute 8

120-8x=4x

AddEqn

LHS+8x=RHS+8x

120=12x