AnswersPA-Geometry B-CRSpecial Right Triangles

Special Right Triangles Answers

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Which statements regarding triangle DEF are correct? Select three options.

A
EF is the longest side of △DEF.
B
DF = 6 cm
C
DE = cm
Option C
D
DF = cm
Option D
E
DE = cm
Option E
2
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Each leg of a 45°-45°-90° triangle measures 12 cm.

Question illustration
A
6 cm
B
cm
Option B
C
12 cm
D
cm
Option D
3

The hypotenuse of a 45°-45°-90° triangle measures 18 cm.

Question illustration
A
9 cm
B
cm
Option B
C
18 cm
D
cm
Option D
4

Line segment YV of rectangle YVWX measures 24 units.

Question illustration
A
8 units
B
units
Option B
C
12 units
D
units
Option D
5

Consider triangle GHJ.

Question illustration
A
5 units
B
units
Option B
C
10 units
D
units
Option D
6

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.

Question illustration
A
6.5 ft
B
ft
Option B
C
13 ft
D
ft
Option D
7

Square A B C D is shown. Each side is 30 yards long. A diagonal is drawn from point D to point B to form 2 triangles.

Question illustration
A
15 yd
B
30 yd
C
yd
Option C
D
yd
Option D
8

Consider triangle DEF. The legs have a length of 36 units each.

Question illustration
A
18 units
B
units
Option B
C
36 units
D
units
Option D
9

The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

Question illustration
A
64 cm
B
cm
Option B
C
128 cm
D
cm
Option D
10

Which triangle is a 30°-60°-90° triangle?

A
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
Option A
B
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
Option B
C
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
Option C
D
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
Option D

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