Mathematics for Machine Technology
Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 53, Problem 1A

Determine the length of a. Round the answer to 1 decimal place.

Chapter 53, Problem 1A, Determine the length of a. Round the answer to 1 decimal place.

Expert Solution & Answer
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To determine

The length of side a of the given triangle.

Answer to Problem 1A

The length of side a is a=28.39mm.

Explanation of Solution

Given:

The following figure is given.

  Mathematics for Machine Technology, Chapter 53, Problem 1A

If one of the angles of any triangle is denoted by a rectangle, the angle is considered as a right angle. In the figure above, the angle B is the right angle and triangle ABC is the right-angle triangle.

To calculate the side BC, let us apply the Pythagoras theorem. According to Pythagoras theorem,

  AC2=AB2+BC2(63.5)2=(56.8)2+(a)2(a)2=(63.5)2(56.8)2(a)2=806.01a=806.01a=28.39mm

The length a of the given triangle is a=28.39mm.

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