Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT Click one of the.

Presentation on theme: "Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT Click one of the."— Presentation transcript:

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

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

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 91754 Phone: (323) 265-8784 Email Us At: menteprog@hotmail.com Our Website: http://www.matematicamente.org EXIT BACKNEXT

Download ppt "Right Triangles Prepared by Title V Staff: Daniel Judge, Instructor Ken Saita, Program Specialist East Los Angeles College EXIT BACKNEXT Click one of the."

Similar presentations