Chapter 5.5, Problem 1E

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

Elementary Geometry For College St...

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

For the 45 ° - 45 ° - 90 ° triangle shown, suppose that A C = a . Find: a) B C b) A B

To determine

a) To find:

BC, for the 45°-45°-90° triangle shown, suppose that AC=a.

Explanation

Approach:

For a right triangle for which the measure of the interior angles 45Â°, 45Â°, and 90Â°, if â€˜aâ€™ is the length of measure of one of the leg; opposite to the angle 45Â°, 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 =2Ã— (Length of one of the legs)

Calculation:

Given,

A 45Â°-45Â°-90Â° triangle ABC with AC=a.

To determine

b) To find:

AB, for the 45°-45°-90° triangle shown, suppose that AC=a.

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