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The Pythagorean Theorem Worksheet

The Pythagorean Theorem Worksheet
  • Page 1
 1.  
State which of the following measures will form a right triangle?
I. 9, 12, 15
II. 4, 6, 52
III. 3, 4, 6
a.
only I
b.
only II
c.
only III
d.
I and II


Answer: (d)


Correct answer : (4)
 2.  
If one side of a right triangle is 3 cm and the length of its hypotenuse is 4 cm, then find the length of the other side.
a.
6 cm
b.
7 cm
c.
7 cm
d.
6 cm


Answer: (c)


Correct answer : (3)
 3.  
If b = 15 cm and c = 5 cm, then find the value of x in the right triangle.

a.
22 cm
b.
20 cm
c.
24 cm
d.
21 cm


Answer: (b)


Correct answer : (2)
 4.  
If b = 8.8 units and c = 11 units, then find the value of a in the figure.


a.
13.2 units
b.
6.6 units
c.
11.6 units
d.
10.6 units


Answer: (b)


Correct answer : (2)
 5.  
If a = 16.8 units and c = 35.7 units, then find the value of b in the figure.


a.
34.5 units
b.
32.5 units
c.
33.5 units
d.
31.5 units


Answer: (d)


Correct answer : (4)
 6.  
If a = 7.5 units and b = 10 units, then find the measure of the hypotenuse in the right triangle.


a.
22.5 units
b.
11 units
c.
14.5 units
d.
12.5 units


Answer: (d)


Correct answer : (4)
 7.  
One leg of a right triangle is 18 cm long. The other leg is 4 cm less than the hypotenuse. What are the lengths of this leg and hypotenuse?
a.
34.5 cm and 38.5 cm
b.
40.5 cm and 44.5 cm
c.
38.5 cm and 42.5 cm
d.
43.5 cm and 39.5 cm


Answer: (c)


Correct answer : (3)
 8.  
A ladder leans against a wall. Find the angle the ladder makes with the ground, if it makes an angle of 30° with the wall.


a.
60°
b.
70°
c.
65°
d.
69°


Answer: (a)


Correct answer : (1)
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