Download Name Block Review: How do I find an arithmetic mean? • Geometric

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Review: How do I find an arithmetic mean?

Geometric mean
Ex. 1
Geometric Mean
a) 4 and 9
b) 6 and 15
c) 2 and 50
d)
13
5
and
7
7
e) 4√2 and 8√10
Ex. 2
Working Backwards
a) Find two numbers whose geometric mean is 12.
b) Find two numbers whose geometric mean is 20.
Question: What is an ALTITUDE of a triangle?
In the picture above, my altitude would be __________.
By drawing an altitude, I am creating _____________ __________________ triangles.
Theorem 7.1
Example:
Theorem 7.2
Example:
Ex. 2
Altitude and Segments of the Hypotenuse
Ex. 3
Altitude and Segments of the Hypotenuse
Ex. 4
Altitude and Segments of the Hypotenuse
In triangle RPQ, RS = 7 and PS = 14. Find SQ.
Ex. 5
Altitude and Segments of the Hypotenuse
In triangle RPQ, SQ = 40 and PS = 12. Find RS.
Theorem 7.3
Example:
Ex. 4
Hypotenuse and Segment of Hypotenuse (Multiple Variables)
Ex. 5
Hypotenuse and Segment of Hypotenuse (Multiple Variables)
Find x and y in triangle BCA.
Now let’s go ABOVE AND BEYOND!!!!!
A)
Find the geometric mean between the number
of players from Indiana and North Carolina.
B)
Are there two schools whose geometric mean
is the same as the geometric mean between
UCLA and Clemson? If so, which schools?