AnswersMISD-Geometry-RECOVERY-B-2019-2020Exploring the Pythagorean Theorem

Exploring the Pythagorean Theorem Answers

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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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3

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4

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5

What is the area of the square of the leg 6? What is the area of the square of the leg 8? What is the area of the hypotenuse square? What is the length of the hypotenuse?

Answers:
Selection 1:36 square units
Selection 2:64 square units
Selection 3:100 square units
Selection 4:10 units
6

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
7

Question text not available

Answer:

nh

8

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

A
85
B
86
C
94
D
97
9

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.
10

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.
11

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.
12

Check all that you included in your response.

A
Square all three numbers.
B
Add the squares of the two smallest numbers.
C
If the sum is equal to the square of the largest number, the numbers form a Pythagorean triple.

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