Chapter 8: Right Triangles & Trigonometry 8.2 Special Right Triangles.

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8.2 Special Right Triangles

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Presentation transcript:

Chapter 8: Right Triangles & Trigonometry 8.2 Special Right Triangles

Isosceles Right Triangles What are the angle measures of an isosceles right triangle?

Theorem Triangle Theorem –In a triangle, both legs are congruent and the length of the hypotenuse is √2 times the length of a leg

Example 1 Find the value of h:

Example 1 Find the value of x:

Example 1a Find the length of the hypotenuse of a triangle with legs of length 5√3.

Example 2 What is the value of x?

Example 3 A high school softball diamond is a square. The distance from base to base is 60 feet. To the nearest foot, how far does a catcher throw the ball from home plate to second base?

Example 3a A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long will the path be?

Theorem Triangle Theorem –In a triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is √3 times the length of the shorter leg.

Example 4 Find the value of each variable:

Example 4a Find the value of each variable:

Homework p , 9-14, 17-22