Check if given set of numbers 6,8,10 forms pythagorean triplet or not?
1 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
⛱️
You might be interested in
Answer:
The circulation of the field f(x) over curve C is Zero
Step-by-step explanation:
The function and curve C is ellipse of equation
Theory: Stokes Theorem is given by:
Where, Curl f(x) =
Also, f(x) = (F1,F2,F3)
Using Stokes Theorem,
Surface is given by g(x) =
Therefore, tex]\hat{N} = grad(g(x))[/tex]
Now,
Curl f(x) =
Curl f(x) =
Curl f(x) = (0,0,4)
Putting all values in Stokes Theorem,
I=0
Thus, The circulation of the field f(x) over curve C is Zero