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

Question illustration
A
cos(60o) =
Option A
B
cos(60o) =
Option B
C
cos(60o) =
Option C
D
cos(60o) =
Option D
3

Which equation can be used to solve for b?

Question illustration
A
b = (8)tan(30o)
B
b =
Option B
C
b = (8)sin(30o)
D
b =
Option D
4

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
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

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.
7

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
8

Which equation can be used to solve for c?

Question illustration
A
c = (5)cos(35o)
B
c =
Option B
C
c = (5)sin(35o)
D
c =
Option D
9

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

Question illustration
A
3.1 cm
B
3.9 cm
C
4.6 cm
D
5.4 cm
10

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

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