AnswersOH-Geometry BArea and Perimeter of Triangles

Area and Perimeter of Triangles Answers

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

A
Triangle A B C is shown. The length of A C is 28, the length of C B is 24, and the length of A B is 16.
Option A
B
Triangle D E F is shown. The length of E F is 20. Angle F D E is 34 degrees and angle D E F is 108 degrees.
Option B
C
Triangle G H J is shown. The length of G H is 17 and the length of G J is 22. Angle H J G is 47 degrees.
Option C
D
Triangle K L M is shown. The length of K L is 29 and the length of K M is 15. Angle L K M is 35 degrees.
Option D
6

Perimeter = 36 cmHeron’s formula: Area =

Question illustration
A
15 square centimeters
B
25 square centimeters
C
62 square centimeters
D
72 square centimeters
7

Trigonometric area formula: Area =

Question illustration
A
3.9 square units
B
8.4 square units
C
11.8 square units
D
17.7 square units
8

Trigonometric area formula: Area =

Question illustration
A
10.3 square units
B
18.0 square units
C
20.0 square units
D
20.6 square units
9

Heron’s formula: Area =

Question illustration
A
2 square meters
B
7 square meters
C
20 square meters
D
78 square meters
10

Heron’s formula: Area =

Question illustration
A
17.75 square units
B
81.33 square units
C
372.71 square units
D
957.74 square units

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