Consider a square with each side of length k. (a) Draw a diagonal of the square. What is the measure of each angle formed by a side of the square and this diagonal? (b) What is the length of the diagonal? (c) From the results of parts (a) and (b), complete the following statement: In a 45°9 45° right triangle, the hypotenuse has a length that is times as long as either leg.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Consider a square with each side of length k.
(a) Draw a diagonal of the square. What is the measure of each
angle formed by a side of the square and this diagonal?
(b) What is the length of the diagonal?
(c) From the results of parts (a) and (b), complete the following
statement:
In a 45°9 45° right triangle, the hypotenuse has a length that is times as
long as either leg.

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