All categories

3 years ago

Check if given set of numbers 6,8,10 forms pythagorean triplet or not?

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

$\LARGE{ \underline{ \tt{Required \: answer:}}}$

We know that,

Pythagoras theoram is given by : p² + b² = h²

In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.

Then,

We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.

Sum of squares of smaller sides:

= 6² + 8²

= 36 + 64

= 100

Square of longer side:

= 10²

= 100

Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.

And we are done! :D

⛱️ $\large{ \blue{ \bf{FadedElla}}}$

You might be interested in

How do you graph y= -x+5

abruzzese [7]

If x is 1 which will be -1, y will be -1+5=4 (-1,4)
If x is 0, y will be 0+5=5

4 0

3 years ago

Which of these points lie on the circumference of the circle X^2 + Y^2 = 25? Circle your answer. (-3, 4) (6.25, 6.25) (9, 16) (-

Bad White [126]

Answer:

A. (-2, 4)

Step-by-step explanation:

<u>Given the circle:</u>

$x^2+y^2=25$

$x^2+y^2=5^2$

According to the equation, any point with one of the coordinate > 5 lies outside of the circle since the radius is 5 units.

The points 2, 3 and 4 have at least one of the coordinates greater than 5.

<u>Let's verify the point 1:</u>

$(-3)^2+4^2=9+16=25\\$
$25=25$

3 0

3 years ago

Read 2 more answers

What is the fibonacci sequence who invented it and what is it used for

butalik [34]

Answer:

Read the explanation

Step-by-step explanation:

- The Fibonacci Sequence is the series of numbers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

- The next number is found by adding up the two numbers before it

# Example:

- The 2 is found by adding the two numbers before it (1+1)

- The 3 is found by adding the two numbers before it (1+2),

- The 5 is (2+3) and so on

- The rule of it is x(n) = x(n-1) + x(n-2) where

# x(n) is term number ⇒ n

# x(n-1) is the previous term ⇒ (n-1)

# x(n-2) is the term before that ⇒ (n-2)

- Example: the 8th term is the 7th term plus the 6th term:

x(8) = x(7) + x(6)

# Note: When we take any two consecutive Fibonacci Numbers,

their ratio is very close to the Golden Ratio φ

- The Golden Ratio φ is approximately 1.618034...

- We can calculate any Fibonacci Number using the Golden Ratio:

x(n) = [φ^n - (1 - φ)^n]/√5

- The answer is a whole number, exactly equal to the addition of the

previous two terms.

# There is an interesting patterns in Fibonacci sequence:

every nth number is a multiple of x(n)

- Example:

* x3 = 2 ⇒ every 3rd number is a multiple of 2 (2, 8, 34, 144, 610, ...)

* x4 = 3 ⇒ Every 4th number is a multiple of 3 (3, 21, 144, ...)

* x5 = 5 ⇒ Every 5th number is a multiple of 5 (5, 55, 610, ...)

- The man who invented it.

His real name was Leonardo Pisano Bogollo, and he lived between

1170 and 1250 in Italy.

- Fibonacci was his nickname

- Fibonacci sequence is it used for:

# Reflects patterns of growth spirals (a spiral curve , shape , pattern ,

object) found in nature

# It is the closest approximation in integers to the logarithmic spiral

series, which follows the same rule as the Fibonacci sequence

6 0

3 years ago

What this is common denominator of 3/3c² 1/9c³ and. x-1/6c. ?

lubasha [3.4K]

It’s going to be 18c³

3 0

3 years ago

Read 2 more answers

**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pe

dusya [7]

Answer:

1 1/8

Step-by-step explanation:

1/4 of 4 1/2 is Pepsi.

1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8

7 0

4 years ago

Check if given set of numbers 6,8,10 forms pythagorean triplet or not?​

Check if given set of numbers 6,8,10 forms pythagorean triplet or not?