AnswersOH-Geometry BArea and Perimeter of Triangles

Area and Perimeter of Triangles Answers

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1
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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
2
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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
3

Which expressions represent the area of triangle ABC? Select three options.

A
a c sine (60 degrees)
Option A
B
One-half b c sine (60 degrees)
Option B
C
One-half a squared sine (60 degrees)
Option C
D
StartFraction a squared b sine (60 degrees) Over 2 EndFraction
Option D
E
StartFraction a b sine (60 degrees) Over 2 EndFraction
Option E
5

Heron’s formula: Area =

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

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