8 1 RadicalsGeometric Mean Find the geometric mean

8. 1 Radicals/Geometric Mean

Find the geometric mean of 9 and 4:

Solve for x, y and a: x a 9 y 16

8. 2 Pythagorean Theorem

Examples: 10 5 y 5 m m-1

15 13 13 x 25

8. 3 Converse of the Pythagorean Theorem

Theorem 8. 3: _______________________________________ There a lot of standard families of right triangles. Make your life easier and memorize the head of each family.

3, 4, 5 5, 12, 13 8, 15, 17 Memorize the Read ones!! 7, 24, 25

Examples: 13 5 y 50 14 x

Examples: Tell what kind of Triangle.

8. 4 Special Right Triangles

Examples: 12 y 14 45 y x

Examples: 45 y y 45 y x

Examples: 60 60 x 5 x 30 y y 30

Examples: 60 60 x x 30 y y 30

The diagonal of a square is 6 find the perimeter of the square. 6

The perimeter of an Equilateral triangle is 30, find the length of an altitude.