AnswersPre-Algebra BUnit Test

Exploring the Pythagorean Theorem Answers

11 verified answers
1
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Which are perfect squares? Check all that apply.

A
9
B
24
C
16
D
200
E
169
F
625
2
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Question text not available

Answers:
Selection 1:36 square units
Selection 2:64 square units
Selection 3:100 square units
Selection 4:10 units
3

What is the area of the square of the leg 6?12 square units16 square units✔ 36 square units48 square units64 square units

Answers:
Selection 1:36 square units
Selection 2:64 square units
Selection 3:100 square units
Selection 4:10 units
4

What is the area of the square of the leg 8?12 square units16 square units36 square units48 square units✔ 64 square units

A
12 square units
B
16 square units
C
36 square units
D
48 square units
E
✔ 64 square units
5

What is the area of the hypotenuse square?28 square units48 square units84 square units✔ 100 square units112 square units

A
28 square units
B
48 square units
C
84 square units
D
✔ 100 square units
E
112 square units
6

What is the length of the hypotenuse?9 units✔ 10 units11 units12 units14 units

A
9 units
B
✔ 10 units
C
11 units
D
12 units
E
14 units
8

Which lengths would form a right triangle?

A
9, 12, and 14
B
24, 7, and 26
C
21, 16, and 12
D
30, 24, and 18
9

What is the value of x if (13, 84, x) is a Pythagorean triple?

A
85
B
86
C
94
D
97
10

Is her answer correct?

A
No, she should have added 82 and 102 and compared that to 62.
B
No, she should have subtracted 102 from 82 and compared that to 62.
C
No, she should have added 62 and 82 and compared that to 102.
D
Yes, she is correct.
11

Which scenario cannot be modeled by a right triangle?

A
A 13-foot ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 12 feet.
B
Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.
C
The dimensions of a triangular-shaped garden are 28 yards, 53 yards, and 45 yards.
D
A Babylonian writing mentioned a triangle with side lengths 120, 169, and 119.
12

Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct? Can a Pythagorean triple be created using multiples of a known Pythagorean triple.

A
Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
B
Yes, as long as each number in the Pythagorean triple is multiplied by a different whole number.
C
No, Pythagorean triples only exist with small numbers.
D
No, multiplying a known Pythagorean triple by a whole number will not create a Pythagorean triple.

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