1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mekhanik [1.2K]
3 years ago
10

The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain o

r show why they are Pythagorean triples
Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

When we have 3 numbers, like:

a, b and c.

Such that:

a < b < c.

These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:

a^2 + b^2 = c^2

This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.

Now that we know this, we can check if the given sets are Pythagorean triples.

1)  3, 4, 5

Here we must have that:

3^2 + 4^2 = 5^2

solving the left side we get:

3^2 + 4^2 = 9 + 16 = 25

and the right side:

5^2 = 25

Then we have the same in both sides, this means that these are Pythagorean triples.

2) 8, 15, 17

We must have that:

8^2 + 15^2 = 17^2

Solving the left side we have:

8^2 + 15^2 = 64 + 225 = 289

And in the right side we have:

17^2 = 17*17 = 289

So again, we have the same result in both sides, which means that these numbers are Pythagorean triples

You might be interested in
Nadine bought the ingredients for 24 cupcakes for $5.60. She sold each cupcake for $1.30. She saved 25% of the profits and used
ololo11 [35]
The answer is C. 19.2
3 0
3 years ago
Simplify y - 3 over 3 +12
Hitman42 [59]

Answer:

y-3/15

Step-by-step explanation:

5 0
3 years ago
Why is the function below called a rational function?
natta225 [31]
A rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials
5 0
3 years ago
What is an equation of the line that passes through the point (-5,3)(−5,3) and is parallel to the line 3x-5y=303x−5y=30?
rosijanka [135]

The equation of the line which passes through the point (-5, 3) and is parallel to the equation 3x -5y = 30 is; 3x -5y = 30.

<h3>What is the equation of the line?</h3>

Since the line is parallel to the given line; 3x -5y = 30 whose slope is; 3/5.

Hence, since the two lines have equal slopes;

3/5 = (y-3)/(x-(-5))

3/5 = (y-3)/(x+5)

5y -15 = 3x +15

3x -5y = 30

Read more on equation of a line;

brainly.com/question/1461621

#SPJ4

3 0
1 year ago
If (2,0) is a solution of the linear equation 2x+3y=k,then the value of k is​
Margarita [4]

Answer:

k = 4

Step-by-step explanation:

Plug in the values of 2 for x and 0 for y, and solve for k.

2x + 3y = k

2(2) + 3(0) = k

4 = k

k = 4

8 0
3 years ago
Read 2 more answers
Other questions:
  • How far apart is 37 and 17 remember their positives
    12·2 answers
  • Assume that the two polygons are similiar, with the same orientation.
    8·1 answer
  • Solve and show your work<br> -(x + 5) = 5
    8·1 answer
  • Multiply: (x – 4)(x + 5)
    9·1 answer
  • Can 3 be equivalent to 300
    10·1 answer
  • Solve the system using elimination 3x+2y=17 and 2x+5y=26
    13·1 answer
  • How many ounces are in 1/4 pound of ointment
    8·2 answers
  • Complete the statement describing the solution set to this compound inequality.
    10·2 answers
  • Jake's mom is making peanut butter cookies with chocolate chips. In her first batch, she used the ratio of 2:2 for the number of
    6·1 answer
  • Please help me with the question please ASAP ASAP please please ASAP please please help
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!