AnswersRMA FL-1206310-Geometry Semester 2Special Right Triangles

Special Right Triangles Answers

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1
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Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse?

A
7 cm
B
cm
C
14 cm
D
cm
2
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3

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4

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5

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°
6

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.
B
in.
C
24 in.
D
in.
7

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

A
BD = 9 in.
B
AB = 36 in.
C
DC = in.
D
AC = in.
E
BC = in.
8

[___] feet

Answer:

90

9

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.
B
The distance from the man’s feet to the top of the monument is feet.
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.
10

What is the height of the roof, h?

A
5 ft
B
ft
C
ft
D
ft
11

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
B
ft
C
Option
D
10
12

If AB = 2x, complete the statements below. 2 + (AD)2 = (2x)2(AD)2 = x2 – x2(AD)2 = x2AD =

Answers:
Selection 1:x
Selection 2:4
Selection 3:3
Selection 4:x
13

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