7-4: Similarity in Right Triangles

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Presentation transcript:

7-4: Similarity in Right Triangles Goal: Be able to find and use relationships in smaller right triangles geometric mean - The number x such that where a, b, and x are positive numbers. Ex 1: Find the geometric mean of a.) 4 and 7 b.) 5 and 25

Similarity in Right Triangles When _____________ is drawn to the ________________ of , 3 ______________ triangles are formed. altitude hypotenuse similar

Watch and be amazed!

h is the geometric mean between x and y P P N O M O N N M h is the geometric mean between x and y b is the geometric mean between y and c a is the geometric mean between x and c

Ex 3: Find x. Ex 4: Find x. x x 3 5 5 7

Ex 5: Find x. Ex 6: Find x. x 3 y 2 6 x 5

Ex 7: Find x. Ex 8: Find x. 3 z y x y z 1 4 x