30251

Question

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Worked Solution

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Variant 0

DifficultyLevel

575

Question

Which of the triangles listed in the table below are right-angled?


Side 1 Side 2 Side 3
Triangle A 6 cm 8 cm 10 cm
Triangle B 8 cm 10 cm 12 cm

Worked Solution

Use Pythagoras to verify if each triangle is right-angled:

Triangle A
626^2 + 828^2 = 10210^2
36 + 64 = 100 ✓\checkmark

Triangle B
828^2 + 10210^2 = 12212^2
64 + 100 = 144 X\Chi

∴\therefore Only Triangle A is right-angled.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the triangles listed in the table below are right-angled?
> > | | Side 1 | Side 2 | Side 3 | > > | ---------- | ------ | ------ | ------ | > > | Triangle A | 6 cm | 8 cm | 10 cm | > > | Triangle B | 8 cm | 10 cm | 12 cm |
solution
sm_nogap Use Pythagoras to verify if each triangle is right-angled: sm_nogap Triangle A
| | | | |--| -- | -- | | $6^2$ + $8^2$ | = $10^2$ | | | 36 + 64 | = 100 | $\checkmark$ |
sm_nogap Triangle B
| | | | |--| -- | -- | | $8^2$ + $10^2$ | = $12^2$ | | | 64 + 100 | = 144 | $\Chi$ |

$\therefore$ Only Triangle A is right-angled.
correctAnswer
Triangle A only

Answers

Is Correct?Answer
✓

Triangle A only

x

Triangle B only

x

Triangle A and B

x

Neither are right-angled.

Variant 1

DifficultyLevel

575

Question

Which of the triangles listed in the table below are right-angled?


Side 1 Side 2 Side 3
Triangle A 1 cm 3 cm 2 cm
Triangle B 3 cm 5 cm 4 cm

Worked Solution

Use Pythagoras to verify if each triangle is right-angled:

Triangle A
121^2 + 222^2 = 323^2
1 + 4 = 9 X\Chi

Triangle B
323^2 + 424^2 = 525^2
9 + 16 = 25 ✓\checkmark

∴\therefore Only Triangle B is right-angled.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the triangles listed in the table below are right-angled?
> > | | Side 1 | Side 2 | Side 3 | > > | ---------- | ------ | ------ | ------ | > > | Triangle A | 1 cm | 3 cm | 2 cm | > > | Triangle B | 3 cm | 5 cm | 4 cm |
solution
Use Pythagoras to verify if each triangle is right-angled: sm_nogap Triangle A
| | | | |-- :| -- | -- | | $1^2$ + $2^2$ | = $3^2$ | | | 1 + 4 | = 9 | $\Chi$ |
sm_nogap Triangle B
| | | | |-- :| -- | -- | | $3^2$ + $4^2$ | = $5^2$ | | | 9 + 16 | = 25 | $\checkmark$ |

$\therefore$ Only Triangle B is right-angled.
correctAnswer
Triangle B only

Answers

Is Correct?Answer
x

Triangle A only

✓

Triangle B only

x

Triangle A and B

x

Neither are right-angled.

Variant 2

DifficultyLevel

575

Question

Which of the triangles listed in the table below are right-angled?


Side 1 Side 2 Side 3
Triangle A 2 cm 5 cm 10 cm
Triangle B 4 cm 10 cm 12 cm

Worked Solution

Use Pythagoras to verify if each triangle is right-angled:

Triangle A
222^2 + 525^2 = 10210^2
4 + 25 = 100 X\Chi

Triangle B
424^2 + 10210^2 = 12212^2
16 + 100 = 144 X\Chi

∴\therefore Neither are right-angled.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the triangles listed in the table below are right-angled?
> > | | Side 1 | Side 2 | Side 3 | > > | ---------- | ------ | ------ | ------ | > > | Triangle A | 2 cm | 5 cm | 10 cm | > > | Triangle B | 4 cm | 10 cm | 12 cm |
solution
Use Pythagoras to verify if each triangle is right-angled: sm_nogap Triangle A
| | | | |-- :| -- | -- | | $2^2$ + $5^2$ | = $10^2$ | | | 4 + 25 | = 100 | $\Chi$ |
sm_nogap Triangle B
| | | | |-- :| -- | -- | | $4^2$ + $10^2$ | = $12^2$ | | | 16 + 100 | = 144 | $\Chi$ |

$\therefore$ Neither are right-angled.
correctAnswer
Neither triangle is right-angled

Answers

Is Correct?Answer
x

Triangle A only

x

Triangle B only

x

Both Triangle A and Triangle B

✓

Neither triangle is right-angled

Variant 3

DifficultyLevel

575

Question

Which of the triangles listed in the table below are right-angled?


Side 1 Side 2 Side 3
Triangle A 2 cm 7 cm 5 cm
Triangle B 6 cm 10 cm 8 cm

Worked Solution

Use Pythagoras to verify if each triangle is right-angled:

Triangle A
222^2 + 525^2 = 727^2
4 + 25 = 49 X\Chi

Triangle B
626^2 + 828^2 = 10210^2
36 + 64 = 100 ✓\checkmark

∴\therefore Triangle B only is right-angled.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the triangles listed in the table below are right-angled?
> > | | Side 1 | Side 2 | Side 3 | > > | ---------- | ------ | ------ | ------ | > > | Triangle A | 2 cm | 7 cm | 5 cm | > > | Triangle B | 6 cm | 10 cm | 8 cm |
solution
Use Pythagoras to verify if each triangle is right-angled: sm_nogap Triangle A
| | | | |-- :| -- | -- | | $2^2$ + $5^2$ | = $7^2$ | | | 4 + 25 | = 49 | $\Chi$ |
sm_nogap Triangle B
| | | | |-- :| -- | -- | | $6^2$ + $8^2$ | = $10^2$ | | | 36 + 64 | = 100 | $\checkmark$ |

$\therefore$ Triangle B only is right-angled.
correctAnswer
Triangle B only

Answers

Is Correct?Answer
x

Triangle A only

✓

Triangle B only

x

Both Triangle A and Triangle B

x

Neither triangle is right-angled

Variant 4

DifficultyLevel

575

Question

Which of the triangles listed in the table below are right-angled?


Side 1 Side 2 Side 3
Triangle A 5 cm 3 cm 4 cm
Triangle B 8 cm 6 cm 10 cm

Worked Solution

Use Pythagoras to verify if each triangle is right-angled:

Triangle A
323^2 + 424^2 = 525^2
9 + 16 = 25 ✓\checkmark

Triangle B
626^2 + 828^2 = 10210^2
36 + 64 = 100 ✓\checkmark

∴\therefore Both triangles are right-angled.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Which of the triangles listed in the table below are right-angled?
> > | | Side 1 | Side 2 | Side 3 | > > | ---------- | ------ | ------ | ------ | > > | Triangle A | 5 cm | 3 cm | 4 cm | > > | Triangle B | 8 cm | 6 cm | 10 cm |
solution
Use Pythagoras to verify if each triangle is right-angled: sm_nogap Triangle A
| | | | |-- :| -- | -- | | $3^2$ + $4^2$ | = $5^2$ | | | 9 + 16 | = 25 | $\checkmark$ |
sm_nogap Triangle B
| | | | |-- :| -- | -- | | $6^2$ + $8^2$ | = $10^2$ | | | 36 + 64 | = 100 | $\checkmark$ |

$\therefore$ Both triangles are right-angled.
correctAnswer
Both Triangle A and Triangle B

Answers

Is Correct?Answer
x

Triangle A only

x

Triangle B only

✓

Both Triangle A and Triangle B

x

Neither triangles are right-angled

Tags

  • staging_suejones