CK-12 Geometry-Concepts

http://www.ck12.org Chapter 8. Right Triangle Trigonometry

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CK-12 Foundation: Chapter8InscribedSimilarTrianglesB

Concept Problem Revisited

The average rate of increase can be found by using the geometric mean.

x=

√

0. 213 · 0. 16 = 0. 1846

Over the two year period, housing prices increased 18.46%.

Vocabulary

If two objects aresimilar, they are the same shape but not necessarily the same size. The corresponding angles
of similar polygons are congruent and their sides are proportional in length. Thegeometric meanof two positive
numbersaandbis the numberx, such thatxa=bxorx^2 =abandx=

√

ab.

Guided Practice

1. Find the value ofx.


2. Find the value ofyin 4 RSTabove.


3. Find the geometric mean of 18 and 54.


4. Find the value ofxandy.