AnswersTPS EdX GeometryRight Triangle Relationships and Trigonometry

Practice Test Answers

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1
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Which equation is correct and can be used to solve for the value of z ?

A
sine of open paren 51 degrees close paren over 2 point 6 is equal to sine of open paren 76 degrees close paren over z
B
sine of open paren 76 degrees close paren over 2 point 6 is equal to sine of open paren 53 degrees close paren over z
C
sine of open paren 51 degrees close paren over 2 point 6 is equal to sine of open paren 53 degrees close paren over z
D
sine of open paren 76 degrees close paren over 2 point 6 is equal to sine of open paren 51 degrees close paren over z
2
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Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?

A
12, 15, 19
B
8, 10, 14
C
9, 12, 15
D
10, 14, 17
3

How many of his triangles are obtuse?

A
4
B
1
C
2
D
3
4

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

A
3 point 0 cm.
B
9 point 8 cm.
C
12 point 8 cm.
D
10 point 5 cm.
5

Given right triangle QRS , what is the value of sine of open paren 30 degrees close paren ?

A
the fraction with numerator square root of 3 and denominator 3
B
2 over 1
C
1 half
D
the fraction with numerator square root of 3 and denominator 2
6

Heron’s formula: Area is equal to square root of s open paren s minus A close paren open paren s minus b close paren open paren s minus c close paren end root

A
33 square units
B
15 square units
C
8 square units
D
618 square units
7

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

A
21 point 3 in.
B
22 point 6 in.
C
14 point 3 in.
D
20 point 5 in.
8

Which equation correctly applies the law of cosines to solve for an unknown angle measure?

A
8 squared is equal to 7 squared plus 11 squared minus 2 7 11 cosine cap m
B
7 squared is equal to 8 squared plus 11 squared minus 2 8 11 cosine cap n
C
8 squared is equal to 7 squared plus 11 squared minus 2 7 11 cosine cap p
D
7 squared is equal to 8 squared plus 11 squared minus 2 8 11 cosine cap p
9

What is the length of one leg of the triangle?

A
14 units
B
14 square root of 2 units
C
7 square root of 2 units
D
7 units
10

To the nearest whole number, what is the value of m ?

A
13
B
45
C
43
D
14
11

Which is the best approximation for the measure of angle ABC ?

A
62.3 degrees
B
58.3 degrees
C
27.7 degrees
D
31.7 degrees
12

What is the area of triangle DEF ?

A
12 square root of 77 square units
B
2 square root of 14 square units
C
6 square root of 22 square units
D
2 square root of 2 square units
13

Which equation can be used to find the measure of angle LKJ ?

A
cosine inverse of open paren 10 point 9 over 8 point 9 close paren is equal to x
B
sine inverse of open paren 8 point 9 over 10 point 9 close paren is equal to x
C
cosine inverse of open paren 8 point 9 over 10 point 9 close paren is equal to x
D
sine inverse of open paren 10 point 9 over 8 point 9 close paren is equal to x
14

Given right triangle RST , what is the value of sine of cap s ?

A
12 over 13
B
5 over 12
C
13 over 12
D
5 over 13
15

What is the length of one leg of the triangle?

A
10 square root of 10
B
5 square root of 5
C
5 square root of 10
D
10 square root of 5
16

What is the best approximation of the value of A ?

A
3 point 0 centimeters
B
3 point 3 centimeters
C
2 point 7 centimeters
D
2 point 4 centimeters

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