AnswersGeometry Concepts and ConnectionsSolving for Side Lengths of Right Triangles

Solving for Side Lengths of Right Triangles — Quiz Answers

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A right triangle has one side that measures 4 in. The angle opposite that side measures 80 degrees What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

A
4 point 1 in.
B
3 point 9 in.
C
23 point 0 in.
D
22 point 7 in.
22
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Which equation can be solved to find one of the missing side lengths in the triangle? Expand Image

A
cosine of open paren 60 degrees close paren is equal to A over 12
B
cosine of open paren 60 degrees close paren is equal to 12 over A
C
cosine of open paren 60 degrees close paren is equal to b over A
D
cosine of open paren 60 degrees close paren is equal to 12 over b
23

Which equation can be used to solve for b ? Expand Image

A
tangent of open paren 30 degrees close paren is equal to 10 over b
B
tangent of open paren 30 degrees close paren is equal to 5 over b
C
tangent of open paren 30 degrees close paren is equal to b over 5
D
tangent of open paren 30 degrees close paren is equal to b over 10
24

What is the length of line segment AB ? Round to the nearest tenth. Expand Image

A
37 point 3 m
B
10 point 4 m
C
38 point 6 m
D
9 point 7 m
25

What is the length of line segment BC ? Round to the nearest tenth. Expand Image

A
7 point 5 cm
B
17 point 7 cm
C
14 point 5 cm
D
6 point 8 cm
26

A right triangle has one side that measures 4 in. The angle opposite that side measures 80 degrees What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

A
3 point 9 in.
B
22 point 7 in.
C
4 point 1 in.
D
23 point 0 in.
27

Which relationship in the triangle must be true? Expand Image

A
cosine of cap b is equal to sine of open paren 180 minus cap b close paren
B
sine of cap b is equal to cosine of open paren 90 minus cap b close paren
C
cosine of cap b is equal to cosine of cap A
D
sine of cap b is equal to sine of cap A
28

Which relationship in the triangle must be true? Expand Image

A
sine of cap b is equal to cosine of open paren 90 minus cap b close paren
B
cosine of cap b is equal to sine of open paren 180 minus cap b close paren
C
cosine of cap b is equal to cosine of cap A
D
sine of cap b is equal to sine of cap A
29

Which equation can be used to solve for c ? Expand Image

A
c is equal to the fraction with numerator 5 and denominator mathrm cosine open paren 35 raised to the mathrm o power close paren
B
c is equal to 5 times sine times open paren 35 degrees close paren
C
c is equal to the fraction with numerator 5 and denominator mathrm sine open paren 35 raised to the mathrm o power close paren
D
c is equal to 5 times cosine times open paren 35 degrees close paren
30

Which equation can be used to solve for b ? Expand Image

A
tangent of open paren 30 degrees close paren is equal to b over 10
B
tangent of open paren 30 degrees close paren is equal to b over 5
C
tangent of open paren 30 degrees close paren is equal to 5 over b
D
tangent of open paren 30 degrees close paren is equal to 10 over b
31

What is the length of line segment AB ? Round to the nearest tenth. Expand Image

A
37 point 3 m
B
9 point 7 m
C
38 point 6 m
D
10 point 4 m
32

What is the length of line segment BC ? Round to the nearest tenth. Expand Image

A
6 point 8 cm
B
7 point 5 cm
C
17 point 7 cm
D
14 point 5 cm
33

What is the length of line segment BC ? Round to the nearest tenth. Expand Image

A
7 point 5 cm
B
6 point 8 cm
C
17 point 7 cm
D
14 point 5 cm
34

A right triangle has one side that measures 4 in. The angle opposite that side measures 80 degrees What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

A
4 point 1 in.
B
23 point 0 in.
C
22 point 7 in.
D
3 point 9 in.
35

Which equation can be solved to find one of the missing side lengths in the triangle? Expand Image

A
cosine of open paren 60 degrees close paren is equal to b over A
B
cosine of open paren 60 degrees close paren is equal to A over 12
C
cosine of open paren 60 degrees close paren is equal to 12 over A
D
cosine of open paren 60 degrees close paren is equal to 12 over b
36

What is the approximate value of x ? Round to the nearest tenth. Expand Image

A
4 point 6 cm
B
3 point 1 cm
C
5 point 4 cm
D
3 point 9 cm
37

Which equation can be used to solve for b ? Expand Image

A
tangent of open paren 30 degrees close paren is equal to b over 5
B
tangent of open paren 30 degrees close paren is equal to b over 10
C
tangent of open paren 30 degrees close paren is equal to 5 over b
D
tangent of open paren 30 degrees close paren is equal to 10 over b
38

What is the approximate value of x ? Round to the nearest tenth. Expand Image

A
3 point 1 cm
B
3 point 9 cm
C
5 point 4 cm
D
4 point 6 cm
39

What is the length of line segment AC ? Round to the nearest tenth. Expand Image

A
10 point 5 m
B
18 point 3 m
C
21 point 4 m
D
12 point 3 m
40

Which equation can be used to solve for c ? Expand Image

A
c is equal to 5 times cosine times open paren 35 degrees close paren
B
c is equal to the fraction with numerator 5 and denominator mathrm sine open paren 35 raised to the mathrm o power close paren
C
c is equal to 5 times sine times open paren 35 degrees close paren
D
c is equal to the fraction with numerator 5 and denominator mathrm cosine open paren 35 raised to the mathrm o power close paren

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