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Special Right Triangles — Quiz Answers

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1
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Which statements regarding triangle DEF are correct? Choose three correct answers.

A
DF is equal to 6 cm
B
DF is equal to 4 square root of 3 cm
C
DE is equal to 12 square root of 3 cm
D
line segment EF is the longest side of triangle DEF .
E
DE is equal to 6 square root of 3 cm
2
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What is the length of the hypotenuse of the triangle?

A
36 units
B
18 units
C
18 square root of 2 units
D
36 square root of 2 units
3

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Choose two correct answers.

A
line segment YZ is the longest segment in triangle XYZ .
B
YZ is equal to 9 cm
C
XZ is equal to 9 cm
D
XZ is equal to 2 times XY
E
XZ is equal to 9 square root of 2 cm
4

What is the length of one leg of the triangle?

A
18 cm
B
9 square root of 2 cm
C
9 cm
D
18 square root of 2 cm
5

What is the length of the hypotenuse?

A
12 cm
B
6 cm
C
6 square root of 2 cm
D
12 square root of 2 cm
6

What is the length of one leg of the triangle?

A
128 square root of 2 cm
B
128 cm
C
64 square root of 2 cm
D
64 cm
7

What is the length of line segment HJ ?

A
5 units
B
10 square root of 3 units
C
10 units
D
5 square root of 3 units
8

Consider triangle PQR What is the length of side QR ?

A
16 square root of 3 units
B
16 units
C
8 units
D
8 square root of 3 units
9

What is the length of the hypotenuse of the triangle?

A
10 square root of 2 units
B
5 units
C
10 units
D
5 square root of 2 units
10

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

A
Image with description A triangle has side lengths of 5, 15, and 5 square root 3.
B
Image with description A triangle has side lengths of 5, 10, and 10 square root 3.
C
Image with description A triangle has side lengths of 10, 15, and 5 square root 3.
D
Image with description A triangle has side lengths of 5, 10, and 5 square root 3.

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