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3 years ago

How do you determine if a set of numbers form a Pythagorean triple?

Mathematics

2 answers:

Sladkaya [172]3 years ago

8 0

Answer:

The 3 numbers must be multiples of 3, 4, and 5

Step-by-step explanation:

Pythagorean Triples are numbers that you know will come out perfectly in the Pythagorean Theorem. But the easiest way to explain this is to show you an example.

Say you're given the numbers 12, 16, and 20.

They should be able to be divided by the same number and equal 3, 4, and 5.

In this case, the number is 4.

12/4=3

16/4=4

20/4=5

So, this is a 3-4-5 triangle, or a Pythagorean Triple.

alex41 [277]3 years ago

7 0

Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25.

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Con

mr Goodwill [35]

Answer:

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]$ (1)

Where:

$O(x,y)$ - Point of reference.

$P(x,y)$ - Original point.

$P'(x,y)$ - Dilated point.

$k$ - Dilation factor.

By applying this operation, point B becomes point D:

$B(x,y) = (0,4)$ , $D(x,y) = (0,6)$

$D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]$

$D(x,y) = (0,0) + k\cdot (0,4)$

$(0,6) = (0,0) +(0,4\cdot k)$

$(0, 6) = (0,4\cdot k)$

$k = \frac{3}{2}$

Lastly, we transform point C into point E by applying the same operation: $C(x,y) = (3, 0)$ , $O(x,y) = (0,0)$ and $k = \frac{3}{2}$

$E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]$

$E(x,y) = \left(\frac{9}{2}, 0 \right)$

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

8 0

3 years ago

What is the answer please

Likurg_2 [28]

Answer:

rhombus = a quadrilateral with four congruent sides

rectangle = a quadrilateral with four right angles

parallelogram = a quadrilateral with two pairs of parallel sides

trapezoid = a quadrilateral with one set of parallel sides

square = a quadrilateral with four right angles and four congruent sides

3 0

3 years ago

Which of the following ordered pairs could represent the x-intercept of a function?

bearhunter [10]

The answer is (15,0) because the format is (x,y) so (15,0) means that it is on the x axis only !

6 0

3 years ago

List three numbers that are larger than 20 but smaller than 50 and only have 2 factor

Vedmedyk [2.9K]

Answer: 20, 16, 45

Step-by-step explanation:

I'm not sure if we can use the number 20 but anyways here it is!

Factors:A factor is simply a number that is multiplied to get a product. Factoring a number means taking the number apart to find its factors.Factors are either composite numbers or prime numbers. A prime number has only two factors, one and itself, so it cannot be divided evenly by any other numbers.

I hope this helps!!

4 0

3 years ago

Find the measure of angle 1.

WITCHER [35]

Answer:

108°

Step-by-step explanation:

x = 9

So x + 63° = 72°

So is 8x

So 8x = 72°

Multiply 72° by 2

144°

Now subtract 144° from 360°

The answer is 216°

Now divide by 2

108°

Hope this helped :)

5 0

3 years ago

How do you determine if a set of numbers form a Pythagorean triple?​

How do you determine if a set of numbers form a Pythagorean triple?