Geometry Homework 4 Quarter 1

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1.  

The length of the hypotenuse of a right triangle is 20 centimeters and the length of one leg is 12 centimeters. The length of the other leg is:

1.   8 cm       3.   32 cm
2.   16 cm       4.   36 cm
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2.  

Figure 1

A 10-foot ladder is placed against the side of a building, as shown in Figure 1. The bottom of the ladder is 8 feet from the base of the building. In order to increase the reach of the ladder against the building, it is moved 4 feet closer to the base of the building, as shown in Figure 2. To the nearest foot, how much further up the building does the ladder now reach?

1.   1 foot       3.   6 feet
2.   3 feet       4.   9 feet
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3.  

In right triangle ABC, AC = 40, CB = 9, and m∠C = 90. Find AB.

  1. 7
  3. 41
  4. 49
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4.  

Figure 2

In the diagram of ΔABC, m∠ACB = 90 and  is an altitude. If AD = 2 and DB = 6, find AC.

  2. 4
  3. 6
  4. 4
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5.  

The measure of the altitude of an equilateral triangle whose side has length 6 is

  2. 2
  3. 3
  4. 4
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6.  

Which set of numbers could not represent the lengths of the sides of a right triangle?

  1.   {3, 4, 5}
  2.   {6, 9, 12}
  3.   {5, 12, 13}
  4.   {8, 15, 17}
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7.  

Figure 3

In right triangle ABC, m∠C = 90 and altitude is drawn to hypotenuse .  If AD = 4 and DB = 5, find AC.

  1. 2
  2. 5
  3. 6
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8.  

Figure 4

In the diagram of right triangle ABC, AB = 4 and BC = 7. What is AC, to the nearest hundredth?

1.   5.74       3.   8.06
2.   5.75       4.   8.08
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9.  

If the length of the hypotenuse of a right triangle is 4 and the length of one leg is 2, what is the length of the other leg?

  1. 12
  2. 20
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10.  

Figure 5

In the diagram, ΔFUN is a right triangle, is the altitude to hypotenuse , UR = 12, and FR and RN are in the ratio 1:9.  What is FR?

  1.   1
  2.   1
  3.   36
  4.   4
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