   Chapter 5.5, Problem 23E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

A carpenter is working with a board that is 3 3 4 in. wide. After marking off a point down the side of length 3 3 4 in., the carpenter makes a cut along B C ¯ with a saw. What is the measure of the angle ( ∠ A C B ) that is formed? To determine

To find:

The measure o the angle ACB that is formed when a carpenter working with a board that is 334 in. wide. After marking off a point down the is a of length 334 in the carpenter makes a ct along BC with a saw.

Explanation

Approach:

For a right triangle for which the measure of the interior angles 45°, 45°, and 90°, if ‘a’ is the length of measure of one of the leg; opposite to the angle 45°, then the length of the other two sides is given by

Length of the other leg =a

Length of the hypotenuse =a2

In general

Length of the legs are equal.

Length of the hypotenuse =2× (Length of one of the legs)

Calculation:

Given,

A triangular piece of board that cut off from a board of wide 334 in along its diagonal that meets the opposite side of the board 334 in down the side of length

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