Special Right Triangles

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Presentation transcript:

Special Right Triangles Chapter 8.3 Special Right Triangles

Concept

Example 1 Find the Hypotenuse Length in a 45°-45°-90° Triangle A. Find x.

Example 1 Find the Hypotenuse Length in a 45°-45°-90° Triangle B. Find x.

Example 1 B. Find x. A. B. C. 16 D. 32

Example 2 Find the Leg Lengths in a 45°-45°-90° Triangle Find a.

Example 2 Find b. A. B. 3 C. D.

Concept

Example 3 Find Lengths in a 30°-60°-90° Triangle Find x and y.

Example 3 Find BC. A. 4 in. B. 8 in. C. D. 12 in.

Example 4 Use Properties of Special Right Triangles QUILTING A quilt has the design shown in the figure, in which a square is divided into 8 isosceles right triangles. If the length of one side of the square is 3 inches, what are the dimensions of each triangle?

Example 4 BOOKENDS Bansari designed 2 identical bookends according to the diagram below. Use special triangles to find the height of the bookends. A. B. 10 C. 5 D.