AnswersCA-Common Core Geometry DVHS Sem. 2Triangle Congruence: SSS and HL

Solving for Side Lengths of Right Triangles Answers

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1
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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
2
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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.
3

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
4

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
5

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
6

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
7

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)
8

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
9

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
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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