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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.
Consider the Right Triangle. EXIT BACKNEXT
If we draw a vertical line from vertex C to a point D on our base, we form other right triangles. EXIT BACKNEXT
We have now created three right triangles These triangles are all similar! EXIT BACKNEXT
Recall that similar triangles have congruent (equal measure) corresponding angles. EXIT BACKNEXT
We know the following EXIT BACKNEXT
Similarly, EXIT BACKNEXT
Our picture becomes... EXIT BACKNEXT
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
Since these triangles are similar, the following properties can be used. EXIT BACKNEXT
It can be shown that the original right triangle ABC is similar to the smaller two right triangles. EXIT BACKNEXT
If we separate the figure into three triangles and use the same alignment for all three we get... EXIT BACKNEXT
Similar proportions can be created. CAD B A C D B C EXIT BACKNEXT
Example 1) Determine the value for X EXIT BACKNEXT
We really have EXIT BACKNEXT
Example 2) EXIT BACKNEXT
Example 3) EXIT BACKNEXT
Example 4) EXIT BACKNEXT
Summary EXIT BACKNEXT
End of Right Triangles Title V East Los Angeles College 1301 Avenida Cesar Chavez Monterey Park, CA Phone: (323) Us At: Our Website: EXIT BACKNEXT
Similar Triangles I Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT © 2002 East.
A triangle with at least two sides congruent is called an Isosceles Triangle. bc a In this triangle, sides b and c are congruent.
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