AnswersOH-Geometry BSolving for Side Lengths of Right Triangles

Solving for Side Lengths of Right Triangles Answers

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

A
3.9 in.
B
4.1 in.
C
22.7 in.
D
23.0 in.
2
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The equation can be used to determine the length of line segment AC.

Question illustration
A
11.8 cm
B
12.9 cm
C
14.9 cm
D
15.3 cm
3

Find the length of . Use that length to find the length of .

Question illustration
A
2.3 cm
B
4.0 cm
C
10.7 cm
D
18.6 cm
4

Which equation can be used to solve for b?

Question illustration
A
tan(30o) =
Option A
B
tan(30o) =
Option B
C
tan(30o) =
Option C
D
tan(30o) =
Option D
5

Right triangle ABC is shown.

Question illustration
A
sin(50o) =
Option A
B
sin(50o) =
Option B
C
cos(50o) =
Option C
D
cos(50o) =
Option D
6

What is the length of ? Round to the nearest tenth.

Question illustration
A
6.8 cm
B
7.5 cm
C
14.5 cm
D
17.7 cm
7

What is the length of ? Round to the nearest tenth.

Question illustration
A
10.5 m
B
12.3 m
C
18.3 m
D
21.4 m
8

What is the length of ? Round to the nearest tenth.

Question illustration
A
9.7 m
B
10.4 m
C
37.3 m
D
38.6 m
9

Which relationship in the triangle must be true?

Question illustration
A
sin(B) = sin(A)
B
sin(B) = cos(90 – B)
C
cos(B) = sin(180 – B)
D
cos(B) = cos(A)
10

A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches.Which is the best estimate for the perimeter of the triangle? Round to the nearest tenth.

A
20.0 in.
B
23.1 in.
C
23.7 in.
D
27.4 in.

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