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Lesson 5 Contents Example 1Perimeters of Similar Triangles Example 2Write a Proof Example 3Medians of Similar Triangles Example 4Solve Problems with Similar Triangles

Example 5-3a In the figure, is an altitude of and is an altitude of Find x if and K

Example 5-3b Write a proportion. Cross products Divide each side by 36. Answer: Thus, JI = 28.

Example 5-3c Answer: 17.5 N In the figure, is an altitude of and is an altitude of Find x if and

Example 5-4a The drawing below illustrates two poles supported by wires.,, and Find the height of the pole.

Example 5-4b are medians of since and If two triangles are similar, then the measures of the corresponding medians are proportional to the measures of the corresponding sides. This leads to the proportion measures 40 ft. Also, since both measure 20 ft. Therefore,

Example 5-4c Write a proportion. Cross products Simplify. Divide each side by 80. Answer: The height of the pole is 15 feet.

Example 5-4d The drawing below illustrates the legs, of a table. The top of the legs are fastened so that AC measures 12 inches while the bottom of the legs open such that GE measures 36 inches. If BD measures 7 inches, what is the height h of the table? Answer: 28 in.

End of Lesson 5

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