Mathematics, 16.08.2020 20:01 emmabarnett817

Pick out the set of numbers that is not Pythagorean triple 9 40 46
16 30 34
10 24 26
50 120 130

Answers: 1

Show answers

Answers

Answer from: golderhadashaowtatz

$\huge\boxed{9,40,46}$

Step-by-step explanation:

Let's check it using Pythagorean Theorem:

c^2 = a^2 + b^2

Where c is the longest sides, a and b are rest of the 2 sides

1) 9 , 40 , 46

=> c^2 = a^2 + b^2

=> 46^2 = 9^2 + 40^2

=> 2116 = 81 + 1600

=> 2116 ≠ 1681

So, this is not a Pythagorean Triplet

2) 16, 30 and 34

=> c^2 = a^2 + b^2

=> 34^2 = 16^2 + 30^2

=> 1156 = 256 + 900

=> 1156 = 1156

No need to check more as we've found the one which is not a Pythagorean Triplet.

Answer from: Katlyndavis01

$\boxed{ \huge{ \boxed{ \sf{ \blue{9 , \: 40 \:, 46 \: }}}}}$

Option A is the correct option.

Step-by-step explanation:

1. Let h , p and b are the hypotenuse , perpendicular and base of a right - angled triangle respectively.

From Pythagoras theorem,

$\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$

Here, we know that the hypotenuse is always greater than perpendicular and base,

h = 46 , p = 40 , b = 9

⇒ $\sf{ {46}^{2} = {40}^{2} + {9}^{2} }$

⇒ 2116 = 1600 + 81

⇒ $\sf{2116 ≠ 1681}$

Thus , the relation $\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$ is not satisfied by h = 46 , p = 40 , b = 9

So, The set of numbers 9 , 40 , 46 is not Pythagorean triple.

------------------------------------------------------

2. 16 , 30 , 34

h = 34 , p = 30 , b = 16

$\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$

⇒ $\sf{ {34}^{2} = {30}^{2} + {16}^{2} }$

⇒ $\sf{1156 = 900 + 256}$

⇒ $\sf{1156 = 1156}$

The relation $\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$ is satisfied by the particular values of h , p and b i.e h = 34 , p = 30 , b = 16

So, the set of numbers 16 , 30 , 34 is a Pythagorean triple.

------------------------------------------------------

3. 10, 24 , 26

h = 26 , p = 24 , b = 10

$\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$

⇒ $\sf{ {26}^{2} = {24}^{2} + {10}^{2} }$

⇒ $\sf{676 = 576 + 100}$

⇒ $\sf{676 = 676}$

The relation $\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$ is satisfied by the particular values of h , p and h i.e h = 26 , p = 24 , b = 10

So, the set of numbers 10, 24 , 26 is the Pythagorean triple.

-----------------------------------------------------

4. 50 , 120 , 130

h = 130 , p = 120 , b = 50

$\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$

⇒ $\sf{ {130}^{2} = {120}^{2} + {50}^{2} }$

⇒ $\sf{16900 = 14400 + 2500}$

⇒ $\sf{16900 = 16900}$

The relation $\sf{ {h}^{2} = {p}^{2} + {b}^{2} }$ is satisfied by the particular values of h , p and b i.e h = 130 , p = 120 , b = 50

So, the set of numbers 50, 120 , 130 is the Pythagorean triple.

-----------------------------------------------------

In this way, to satisfy the Pythagoras Theorem , the hypotenuse ( h ) , perpendicular ( p ) and the base ( b ) of a right - angles triangle should have the particular values in order. These values of h , p and b are called Pythagorean triple.

Hope I helped!

Best regards!!

Answer from: Quest

i got 10.28 but that rounds up to 10.3

Answer from: Quest

because that’s us why

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:30, dessssimartinez6780

Name these type of angles shown check all that applies

Answers: 2

continue

Mathematics, 21.06.2019 16:00, lil8174

Which term best describes the association between variables a and b? no association a negative linear association a positive linear association a nonlinear association a scatterplot with an x axis labeled, variable a from zero to ten in increments of two and the y axis labeled, variable b from zero to one hundred forty in increments of twenty with fifteen points in a positive trend.

Answers: 3

continue

Mathematics, 21.06.2019 18:10, sajdshjad751

Abc will undergo two transformations to give aa'b'c' which pair of transformations will give a different image of aabc if the order of the transformations is reversed? a. a rotation 90' counterclockwise about the origin followed by a reflection across the y-axis b a translation 5 units down followed by a translation 4 units to the right c. a reflection across the x-axis followed by a reflection across the y-axis a rotation 180'clockwise about the ongin followed by a reflection across the y-axis reset next 2 omentum all rights reserved o atk me anything o o e

Answers: 1

continue

Mathematics, 21.06.2019 18:30, galaxychild101

The clayton family’s pool has vertices at the coordinates (0, 2), (0, 5), (2, 5), (2, 6), (5, 6), (5, 1), (2, 1), and (2, 2). if each grid square has an area of 9 square feet, what is the area of the pool?

Answers: 1

continue

You know the right answer?

Pick out the set of numbers that is not Pythagorean triple 9 40 46
16 30 34
10 24 26