(edited, original ppt by T.Carl)

1. SPECIAL RIGHT TRIANGLES

2. 45o-45o-90o Triangle Theorem In a 45o-45o-90o triangle, both legs are congruent and the length of the hypotenuse is times the length of a leg. hypotenuse = x leg pg 262 45o s s 45o s

3. Find the value of x. a. b. c. 45o 9 x 45o 45o 45o x 45o x 45o

4. Relating to the Real World - Baseball A baseball diamond is a square. The distance from base to base is 90ft. To the nearest foot, how far does the second baseman throw a ball to home plate?

5. pg 263 30o-60o-90o Triangle Theorem In a 30o-60o-90o triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is times the length of the shorter leg. hypotenuse = 2 x shorter leg hypotenuse = x shorter leg 30o 2s s 60o s

6. Find the value of x and y. 1. 2. 3. 4. x x 4 30o 60o y y y x y x 60o 30o 60o 12

7. Altitude Theorem The altitude of an equilateral triangle is times the length of its side. pg 264 s s s s

8. For an isosceles right triangle or 45o-45o-90o triangle, pg 264 the lengths of the legs are equal. the length of the hypotenuse is times the length of a leg. 45o s s 45o s

9. For a 30o-60o-90o triangle, the length of the hypotenuse is twice the length of the side opposite the 30o angle. the length of the side opposite the 60o angle is times the length of the side opposite the 30o angle. 30o 2s s 60o s