Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Lesson 3: Similarity** **Theorem** **Exercise 6:** Determine the width of the pond. Name the postulate or theorem you used. **Diagram Explanation:** The diagram shows two right triangles sharing a common height within the pond's width. The larger triangle has a base of 120 ft and a height at the base point of 90 ft. The smaller triangle, which overlaps with the larger one, has a base of 135 ft extending to the pond, with an unknown width represented as \( x \) ft, directly opposite the 135 ft line. **Concepts to Apply:** - Use the properties of similar triangles. - Apply the Pythagorean theorem if necessary. - Identify the relevant ratios and expressions for corresponding sides of the triangles to solve for \( x \).
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Transcribed Image Text:**Lesson 3: Similarity** **Theorem** **Exercise 6:** Determine the width of the pond. Name the postulate or theorem you used. **Diagram Explanation:** The diagram shows two right triangles sharing a common height within the pond's width. The larger triangle has a base of 120 ft and a height at the base point of 90 ft. The smaller triangle, which overlaps with the larger one, has a base of 135 ft extending to the pond, with an unknown width represented as \( x \) ft, directly opposite the 135 ft line. **Concepts to Apply:** - Use the properties of similar triangles. - Apply the Pythagorean theorem if necessary. - Identify the relevant ratios and expressions for corresponding sides of the triangles to solve for \( x \).
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