A cat owner has a scratching post that is shaped as a right triangle as shown in the illustration. It is 26 in. tall with a base of 28 in. She wants to build a larger scratching post in the same shape that will be 39 in. tall. Lumber is sold in even-foot lengths (6 ft, 8 ft, 10 ft, etc.). Find the lengths (in inches) of the three sides of the larger scratching post and determine what length of lumber she must purchase to build it.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section: Chapter Questions
Problem 13PTTS
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A cat owner has a scratching post that is shaped as a right triangle as shown in the illustration. It is 26 in. tall with a base of 28 in. She wants to build a larger scratching post in the same shape that will be 39 in. tall. Lumber is sold in even-foot lengths (6 ft, 8 ft, 10 ft, etc.). Find the lengths (in inches) of the three sides of the larger scratching post and determine what length of lumber she must purchase to build it. (Round your answers using the rules for working with measurements.) 

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