AnswersIC Pre-Cal - DeeringArea and Perimeter of Triangles

Area and Perimeter of Triangles Answers

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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
2
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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
3

Heron’s formula: Area =

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A
2 square meters
B
7 square meters
C
20 square meters
D
78 square meters
4

Consider the diagram and the derivation below.Given: In △ABC, AD ⊥ BCDerive a formula for the area of △ABC using angle C.

Question illustration
A
bsin(C)
Option A
B
absin(C)
Option B
C
cbsin(C)
Option C
D
hbsin(C)
Option D
5

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

Question illustration
A
54.9 square units
B
58.8 square units
C
61.8 square units
D
64.1 square units
6

Lila made a triangular flag to cheer on her favorite sports team. The perimeter of the flag is 20 inches.Heron’s formula: Area =

Question illustration
A
15 square inches
B
76 square inches
C
186 square inches
D
215 square inches
7

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
8

A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases, as shown.Heron’s formula: Area =

Question illustration
A
3.9 square centimeters
B
6.7 square centimeters
C
7.7 square centimeters
D
13.4 square centimeters
9

Triangle LMN has sides measuring 7 meters and 6 meters and a perimeter of 16 meters.Heron’s formula: Area =

Question illustration
A
3 square meters
B
9 square meters
C
28 square meters
D
34 square meters
10

Perimeter = 36 cmHeron’s formula: Area =

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

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Area and Perimeter of Triangles Answers — IC…