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Special Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT TOPICSBACKNEXT Click one of the buttons below or press the enter key © 2002 East Los Angeles College. All rights reserved.
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Topics 45° – 45° – 90° Triangle 30° – 60° – 90° Triangle Click on the topic that you wish to view... EXIT BACKNEXTTOPICS
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45° – 45° – 90° Triangle EXIT BACKNEXTTOPICS
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Consider a square with sides X. EXIT BACKNEXTTOPICS
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If we draw in diagonal we’ll obtain two triangles. EXIT BACKNEXTTOPICS
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Take a closer look at the triangle ABC, it’s a Right Triangle! EXIT BACKNEXTTOPICS
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Applying the Pythagorean Theorem, we obtain the length of our diagonal. EXIT BACKNEXTTOPICS
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This is fundamental yet powerful result. EXIT BACKNEXTTOPICS
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Example 1) becomes EXIT BACKNEXTTOPICS
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Example 2) becomes EXIT BACKNEXTTOPICS
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Example 3) becomes Why? EXIT BACKNEXTTOPICS
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Using the 45°- 45°- 90° relationship... EXIT BACKNEXTTOPICS
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30° – 60° – 90° Triangle EXIT BACKNEXTTOPICS
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Consider an equilateral triangle. We know equilateral triangles have: 1. Interior angles each measuring 60°. 2. All three sides have equal length. EXIT BACKNEXTTOPICS
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Bisecting angle ACB by drawing a line segment from vertex C to point D on side, we obtain the following: EXIT BACKNEXTTOPICS
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Now, represent the lengths of our equilateral triangle by 2X. EXIT BACKNEXTTOPICS
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We’ve created a 30°-60°-90° triangle. We need to determine the length of one of our legs, it’s represented by the ? EXIT BACKNEXTTOPICS
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Using the Pythagorean Theorem, We can now apply this result. EXIT BACKNEXTTOPICS
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Example 1) EXIT BACKNEXTTOPICS
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Example 2) EXIT BACKNEXTTOPICS
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Using, EXIT BACKNEXTTOPICS
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Example 3) EXIT BACKNEXTTOPICS
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Using, EXIT BACKNEXTTOPICS
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End of Special Triangles Title V East Los Angeles College 1301 Avenida Cesar Chavez Monterey Park, CA 91754 Phone: (323) 265-8784 Email Us At: menteprog@hotmail.com Our Website: http://www.matematicamente.org EXIT BACKNEXTTOPICS
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