Name
Date
in simplest radical form.
AV
Find the unknown leg length x. Write your answer in simplest radical form.
4.
6.
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42
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Find the area of the isosceles triangle. Write yout answer in simplest
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55ft
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10. Multiple Choice
25ft
What is the length of the hypotenuse of
a
right triangle with leg
lengths of 21 inches and 28 inches?
A.
30 inches
B.
C. 40 inches
35 inches
D, 42 inches
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The given lengths are two sides of a right triangle, All three side lengths
of the triangle are integers and together form a Pythagorean triple. Find
the length of the third side and tell whether it is a leg or the hypotenuse.
=o
11.
o
24 and32
14. 49 pnd 168
12.
24 and45
13.
40 and 85
15.
72and78
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Find the area of a right triangle with given leg
Round decimal answers to the nearest tenth.
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. 17. !,
20' !, :
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12
: 19cm
8.4 mi, h : 29 mi
13 cm,lt
Geometry
Chapter 7 Resource Book
18. l, :
17
21. !. :
18 in.,
ft,h
:
h
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and hypotenuse h.
25fr.
:
32 in.
19. !, : 7.5 in., h : 42 in.
22. !, :30m,h:60m
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23. Multiple Choice
One leg of a right triangle is twice as long as the othpr leg.
The area of the triangle is 49 square feet. What is the length of the shorter leg?
A. 5ft
c. 7ft
B. 6ft
D. 8ft
Find the area of the right triangle. Write your answer in simplest
radical'form.
26..
7 in.
44ft
Find the unknown side Iength x. Write your answer in simplest
radical form.
27.
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30. Ramp A shipping dock has a mobile ramp that is used to
help load and unload cargo from trucks. The ramp is
125 inches long andha, I bur" that is 120 inches
What is the height h of therump?
long.
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120 in.
Exercise As part of your exercise routine, you jog around the neighborhood block
which is shaped like a right triangle;Your street, the hypotenuse of the triangle, is
850 feet long. If the total distance around your block is 2000 feet, what are the
distances of the other two streets that enclose your block?
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ln Exercises 32-34, use the following information.
Farming A farmer is planning on cultivating
as shoum in the diagram. The plot has an area
triangular plot of land
of 12,600 square feet.
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32. Find the perimeter of the plot of land
33. One acre of land is equivalent to 43,560 square feet. How many
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acres are in this plot of land? Round to two decimal places.
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34.
4x&
The farmer wants to enclose the land with a fence. A post will'
be placed every l2feet around the perimeter. How many posts
are needed?
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Geometry
Chapter 7 Resource Book
13