Answers230CR GeometryArea and Perimeter of Triangles

Area and Perimeter of Triangles Answers

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1
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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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Lian is making a banner for the school gym. She cut three pieces of fabric into congruent isosceles triangles, as shown.Trigonometric area formula: Area =

Question illustration
A
139 square inches
B
172 square inches
C
417 square inches
D
515 square inches
3

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
4

Trigonometric area formula: Area =

Question illustration
A
29 units
B
30 units
C
41 units
D
60 units
5

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
6

The perimeter of triangle XYZ is 24 units.

Question illustration
A
14.7 square units
B
14.9 square units
C
15.0 square units
D
15.3 square units
7

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
8

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
9

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
10

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
11

Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the nearest square foot.Heron’s formula: Area

Question illustration
6
6 square feet
7
7 square feet
1
19 square feet
2
22 square feet
12

The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

1
10.2 inches
2
24.0 inches
2
28.2 inches
3
30.0 inches
13

The hypotenuse of a 45°-45°-90° triangle measures units.

Question illustration
7
7 units
u
units
Option u
1
14 units
u
units
Option u
14

The hypotenuse of a 45°-45°-90° triangle measures in.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Question text not available

Question illustration
c
cos−1 = x
Option c
c
cos−1 = x
Option c
s
sin−1 = x
Option s
s
sin−1 = x
Option s
16

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

Question illustration
6
60 ft
f
ft
Option f
1
120 ft
f
ft
Option f
17

Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?

8
8, 10, 14
9
9, 12, 15
1
10, 14, 17
1
12, 15, 19
18

The equation can be used to find the length of .

Question illustration
3
3.0 cm.
9
9.8 cm.
1
10.5 cm.
1
12.8 cm.
19

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
20

Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round to the nearest square inch.Heron’s formula: Area

Question illustration
1
19 square inches
3
37 square inches
6
60 square inches
9
95 square inches

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