AnswersPrecalculusArea and Perimeter of Triangles

Area and Perimeter of Triangles — Quiz Answers

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1
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What is the area of triangle DEF ? Round to the nearest tenth of a square unit.

A
18 point 0 square units
B
20 point 6 square units
C
10 point 3 square units
D
20 point 0 square units
2
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Which expressions represent the area of triangle ABC ? Choose three correct answers.

A
A c sine open paren 60 degrees close paren
B
1 half b c sine open paren 60 degrees close paren
C
1 half A squared sine open paren 60 degrees close paren
D
the fraction with numerator A squared b sine open paren 60 degrees close paren and denominator 2
E
the fraction with numerator A b sine open paren 60 degrees close paren and denominator 2
3

To the nearest square inch, how much fabric will she use to make all three triangles?

A
139 square inches
B
515 square inches
C
172 square inches
D
417 square inches
4

Trigonometric area formula: Area is equal to 1 half A b sine cap c

A
58 point 8 square units
B
54 point 9 square units
C
61 point 8 square units
D
64 point 1 square units
6

What is the area of triangle ABC ? Round to the nearest tenth of a square unit.

A
11 point 8 square units
B
8 point 4 square units
C
3 point 9 square units
D
17 point 7 square units
9

Which triangle’s area can be calculated using the trigonometric area formula?

A
Image with description Triangle D E F is shown. The measure of the angles E D F and D E F are 34 and 108 degrees. The length of the side E F is 20.
B
Image with description Triangle K L M is shown. The measure of the angle L K M is 35 degrees. The length of the sides K L and K M are 29 and 15.
C
Image with description Triangle A B C is shown. The length of the sides A C, C B, and B A are 28, 24, and 16.
D
Image with description Triangle G H J is shown. The measure of the angle G J H is 47 degrees. The length of the sides G H and G J are 17 and 22.
11

What is the area of triangle DEF ? Round to the nearest tenth of a square unit.

A
20 point 0 square units
B
10 point 3 square units
C
20 point 6 square units
D
18 point 0 square units
14

Which expressions represent the area of triangle ABC ? Choose three correct answers.

A
the fraction with numerator A squared b sine open paren 60 degrees close paren and denominator 2
B
A c sine open paren 60 degrees close paren
C
the fraction with numerator A b sine open paren 60 degrees close paren and denominator 2
D
1 half A squared sine open paren 60 degrees close paren
E
1 half b c sine open paren 60 degrees close paren
15

Which triangle’s area can be calculated using the trigonometric area formula?

A
Image with description Triangle G H J is shown. The measure of the angle G J H is 47 degrees. The length of the sides G H and G J are 17 and 22.
B
Image with description Triangle D E F is shown. The measure of the angles E D F and D E F are 34 and 108 degrees. The length of the side E F is 20.
C
Image with description Triangle A B C is shown. The length of the sides A C, C B, and B A are 28, 24, and 16.
D
Image with description Triangle K L M is shown. The measure of the angle L K M is 35 degrees. The length of the sides K L and K M are 29 and 15.
18

What is the area of triangle ABC ? Round to the nearest tenth of a square unit.

A
11 point 8 square units
B
17 point 7 square units
C
8 point 4 square units
D
3 point 9 square units
19

To the nearest square inch, how much fabric will she use to make all three triangles?

A
417 square inches
B
515 square inches
C
172 square inches
D
139 square inches
20

Trigonometric area formula: Area is equal to 1 half A b sine cap c

A
61 point 8 square units
B
58 point 8 square units
C
54 point 9 square units
D
64 point 1 square units

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