AnswersRMA FL-1206310-Geometry Semester 2Special Right Triangles

Solving for Side Lengths of Right Triangles Answers

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1
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What is the length of ? Round to the nearest tenth.

Question illustration
A
9.7 m
B
10.4 m
C
37.3 m
D
38.6 m
2
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A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches.Which is the best estimate for the perimeter of the triangle? Round to the nearest tenth.

A
20.0 in.
B
23.1 in.
C
23.7 in.
D
27.4 in.
3

What is the approximate value of x? Round to the nearest tenth.

Question illustration
A
3.1 cm
B
3.9 cm
C
4.6 cm
D
5.4 cm
4

Which equation can be used to solve for c?

Question illustration
A
c = (5)cos(35o)
B
c =
Option B
C
c = (5)sin(35o)
D
c =
Option D
5

A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building (along the ground).Approximately how long is the ramp? Round to the nearest tenth.

A
10.3 feet
B
10.4 feet
C
13.2 feet
D
38.6 feet
6

A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.What is the length of the other leg? Round to the nearest tenth.

A
14.4 in.
B
21.7 in.
C
28.9 in.
D
43.3 in.
7

What is the length of ? Round to the nearest tenth.

Question illustration
A
10.5 m
B
12.3 m
C
18.3 m
D
21.4 m
8

A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

A
3.9 in.
B
4.1 in.
C
22.7 in.
D
23.0 in.
9

Right triangle ABC is shown.

Question illustration
A
sin(50o) =
Option A
B
sin(50o) =
Option B
C
cos(50o) =
Option C
D
cos(50o) =
Option D
10

The equation can be used to determine the length of line segment AC.

Question illustration
A
11.8 cm
B
12.9 cm
C
14.9 cm
D
15.3 cm
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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