AnswersRMA FL-1206310-Geometry Semester 2Special Right Triangles

Special Right Triangles Answers

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1
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If AB = 2x, complete the statements below.

Answers:
2 + (AD)2 = (2x)2:x
(AD)2 = x2 – x2:4
(AD)2 = x2:3
AD =:x
2
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123✔ 4

A
1
B
2
C
3
D
✔ 4
3

12✔ 34

A
1
B
2
C
✔ 3
D
4
4

✔ x2x12

A
✔ x
B
2x
C
1
D
2
113623

x2x3060

A
x
B
2x
C
30
D
60
113624

1234

A
1
B
2
C
3
D
4
113625

1234

A
1
B
2
C
3
D
4
113626

x2x12

A
x
B
2x
C
1
D
2
113634

The steepest side of the model, AB, measures 4 inches. What is the length of the other skating surface, AD?

A
in.
B
in.
C
in.
D
in.
113635

Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse?

A
7 cm
Option A
B
cm
Option B
C
14 cm
Option C
D
cm
Option D
113636

What are the angle measures in triangle ABC?

A
m∠A = 90°, m∠B = 30°, m∠C = 60°
B
m∠A = 60°, m∠B = 90°, m∠C = 30°
C
m∠A = 90°, m∠B = 60°, m∠C = 30°
D
m∠A = 60°, m∠B = 30°, m∠C = 90°
113637

The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of one of the legs of the triangle?

A
12 in.
Option A
B
in.
Option B
C
24 in.
Option C
D
in.
Option D
113638

Which statements about the diagram are correct? Check all that apply.

A
BD = 9 in.
B
AB = 36 in.
C
DC = in.
Option C
D
AC = in.
Option D
E
BC = in.
Option E
113639

⇒ 90

Answer:

113622

113640

Which measurements are accurate based on the scenario? Check all that apply.

A
The distance from the man’s feet to the base of the monument is feet.
Option A
B
The distance from the man’s feet to the top of the monument is feet.
Option B
C
The distance from the man’s feet to the top of the monument is 1,110 feet.
D
The distance from the man’s feet to the base of the monument is 277.5 feet.
E
The segment representing the monument’s height is the longest segment in the triangle.
113641

What is the height of the roof, h?

A
5 ft
Option A
B
ft
Option B
C
ft
Option C
D
ft
Option D
113642

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?

A
ft
Option A
B
ft
Option B
C
Option
Option C
D
10
Option D
113643

If AB = 2x, complete the statements below.

Answers:
2 + (AD)2 = (2x)2:x
(AD)2 = x2 – x2:4
(AD)2 = x2:3
AD =:x
113644

The steepest side of the model, AB, measures 4 inches. What is the length of the other skating surface, AD?

A
in.
Option A
B
in.
Option B
C
in.
Option C
D
in.
Option D

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