9. 3 Similarity in Right Triangles EQ: How are altitudes and geometric mean of a right triangle related?
Similarity in Right Triangles The altitude to the hypotenuse of a right triangle divides the triangles into two triangles that are similar to the original triangle and to each other.
Geometric Mean: The number x such that are positive numbers , where a, b, and x The geometric mean, in mathematics, is a type of mean or average, which indicates the central tendency or typical value of a set of numbers. Find the geometric mean of 3 and 27. Note: Find the geometric mean of 4 and 18.
Geometric Mean x 6 in 8 in We can use the geometric mean concept when dealing with the altitude inside of a right triangle.
Similarity in Right Triangles Find the values of x and y in the following right triangle. Y 4 Y 5
You Try One!!! Find the values of x and y in the following right triangle.
What if I am looking for the length of a leg?
This rule can be used for either leg: a a b “You wasted $150, 000 on an education you coulda got for $1. 50 in late fees at the public library. ”
Kick it up a notch! Find the value of x in the following right triangle. y z 12 x 16