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Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT Click one of the buttons below or press the enter key © 2002 East Los Angeles College. All rights reserved.

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Consider the Right Triangle. EXIT BACKNEXT

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If we draw a vertical line from vertex C to a point D on our base, we form other right triangles. EXIT BACKNEXT

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We have now created three right triangles These triangles are all similar! EXIT BACKNEXT

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Recall that similar triangles have congruent (equal measure) corresponding angles. EXIT BACKNEXT

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We know the following EXIT BACKNEXT

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Similarly, EXIT BACKNEXT

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Our picture becomes... EXIT BACKNEXT

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Notice we can dissect this right triangle. We must rotate the first right triangle ¼ turn clockwise so the two triangles have the same alignment. EXIT BACKNEXT

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Since these triangles are similar, the following properties can be used. EXIT BACKNEXT

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It can be shown that the original right triangle ABC is similar to the smaller two right triangles. EXIT BACKNEXT

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If we separate the figure into three triangles and use the same alignment for all three we get... EXIT BACKNEXT

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Similar proportions can be created. CAD B A C D B C EXIT BACKNEXT

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Example 1) Determine the value for X EXIT BACKNEXT

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We really have EXIT BACKNEXT

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Example 2) EXIT BACKNEXT

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Example 3) EXIT BACKNEXT

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Example 4) EXIT BACKNEXT

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Summary EXIT BACKNEXT

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End of Right 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 BACKNEXT

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