Name:
Class:
Date:
Find the geometric mean between each pair of numbers.
1. 8 and 12
2. 3 and 15
Write a similarity statement identifying the three similar triangles in the figure.
3.
4.
Find x, y, and z.
5.
6.
Find x.
7.
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8.
9.
10.
Determine whether each set of numbers can be measures of the sides of a triangle. If so, classify the triangle as
acute, obtuse, or right. Justify your answer.
11. 10, 11, 20
12.
, 10, 11
13. 30, 40, 50
Find x.
14.
15.
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16.
Find x and y.
17.
18.
19.
20. BOTANICAL GARDENS One of the displays at a botanical garden is an herb garden planted in the shape of a
square. The square measures 6 yards on each side. Visitors can view the herbs from a diagonal pathway through the
garden. How long is the pathway?
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Date:
Answer Key
1.
2.
4.
5.
6. x ≈ 13.6;
y ≈ 15.7;
z ≈ 26.7
7. x ≈ 10.7;
y ≈ 12.2;
z ≈ 21.8
13.
14.
15.
16.
17. 45
18. 64
19. 144
20. yes; obtuse triangle; 102 + 112 < 202
22. yes; acute triangle;
24. yes; right triangle; 302 + 402 = 502
26. about 4.6 ft high
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27.
28.
31.
32. 10
33. x = 18; y =
34. x = 6; y =
35. x =
40.
; y = 40
yd or about 8.5 yd
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