x = 3 y = 6 r = 3 y = 20

Chapter 9 Right Triangles and Trigonometry Section 9.1 Similar Right Triangles

THEOREM S ABD ~ CBD ABD ~ ABC CBD ~ CBA

Use the fact that DFE ~ DEG Ratio of corresponding sides Substitute Cross Product Simplify h = 1 Solve for h

a. WZY ~ WXZ ~ ZXY b. h =

Theorem A D C B = BD DC AD

Theorem A D C B A D C B = AB AC AD = BC AC DC

The Altitude is the geometric mean between the two pieces of the hypotenuse

The leg is the geometric mean between the piece adjacent to it and the whole hypotenuse

a. x = b. y =