Name_______________________________________
Geometry
7-4 Worksheet
Find the geometric mean of each pair of numbers. Leave all answers in simplest radical form.
1. 5 and 20
2. 4 and 8
3. 3 and 15
4. 12 and 2
Use the figure at the right to complete each statement or proportion.
C
5. c is equal to _____+ _____.
6. The altitude of the triangle is __________.
a
b
z
7. The legs of the triangle are ______ and _______.
8. The hypotenuse of the triangle is _________ or _______________.
y
x
A
B
D
c
9. z is the geometric mean of ______ and _______.
10. b is the geometric mean of ______ and _______ or _____ and _________.
11. a is the geometric mean of ______ and ______ or ______ and __________.
12.
𝒙
𝒛
=
𝒛
13.
𝒙
𝒃
=
𝒃
14.
𝒂
=
𝒂
Find the value of each variable. Leave answers in simplest radical form. Show your work!!!
15.
16.
17.
X =___________
X = ______________
X =__________
18.
19.
X = _____________
21.
20.
x = ______________
22.
X = ________ y = _________
x =_____ y = ______ z =______
x = ________
y = _______
23.
x = ______ y = ______ z = _______