NAME____________________________________DATE______________________________
GEOMETRY
MRS. BINASO
HOMEWORK: Right Triangle Proportions
Show all work on loose leaf.
In Exercises 1-4, find the geometric mean of the numbers. Answers should be in simplest radical
form.
1. 16 and 5
2. 9 and 25
3. 6 and 49
4. 6 and 216
In Exercises 5 and 6, solve for the indicated variable.
5.
6.
x
x
5
40
19
4
In Exercises 7-12, find the indicated length. Use the diagram below for all questions. Please
redraw the diagram for each question.
B
A
C
D
7. AD = 16, DB = 12, find DC
8. AB = 20, AD = 16, find AC.
9. AD = 16, DC = 2, find BC.
10. DC = 4, BC = 6, find AC.
11. AD = 25, BD = 10, find DC.
12. AD = 4, DC = 1, find BD.
13. Find the values of x, y, and z. Any radical answer should be left in simplest radical form.
C
x
A
4
2
D
y
z
B
14. Find the values of x, y, and z to the nearest tenth.
A
x
z
D
15
C
9
y
B
15. In right ∆ABC, 𝐶𝐷 is the altitude drawn to hypotenuse 𝐴𝐵. If CD = 6, AD = 3, and
DB = 5x – 3, find x.
16. 𝐶𝐷 is the altitude on hypotenuse 𝐴𝐵 of right ∆BC. If AC = 12 and AD = 6, find BD.
17. In right ∆ABC, 𝐶𝐷 is the altitude to hypotenuse 𝐴𝐵. If CD = 3 and if DB exceeds
AD by 8, find AD and DB.