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If you know any two sides of a triangle (and know that one of the angles is a right angle), you can calculate the third side.
Also, if you know the third side of a triangle, you can check whether the angle opposite the hypothenuse is a right angle or not.
The Pythagorean Theorem, states, that 'for any right angled triangle the hypotenuse squared is equal to the squares of the other two sides'.
Algebraically expressed as
h^2 = S^2 + s^2
Where 'H' is the hypotenuse, and 'S' and 's' are the other two sides.
The classic example is the 3,4,5 triangle.
5^2 = 4^2 + 3^2
25 = 16 + 9
25 = 25
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Is The Distance Formula is derived from the Pythagorean Theorem?
No.
Which formula can be derived by using the Pythagorean theorem in the coordinate plane?
The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.
Converse of Pythagorean Theorem?
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
What is the difference between the pythagorean theorem and the converse of the pythagorean theorem?
The Pythagorean Theorem states that in a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2. The converse of the Pythagorean theorem states that, if in a triangle with sides a, b, c, a2 + b2 = c2 then the triangle is right and the angle opposite side c is a right angle.
How do you find the perimeter of a parallelogram using Pythagorean theorem?
you can't, because the Pythagorean theorem is for right triangles and the triangles formed by the diagonal of a parallelogram are not right triangles.
Who derived the pythagorean theorem?
Pythagoras
Is The Distance Formula is derived from the Pythagorean Theorem?
No.
Is the distance formula derived from Pythagorean theorem?
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
Whom was the pythagorean theorem derived to?
It was derived to mathematicians of the time and ever since.
Is Pythagorean theorem is derived from the distance formula?
Yes, the distance formula for a line segment was derived from Pythagoras' theorem.
By whom was the pythagorean theorem derived?
by the greek mathematician and philosopher 'Pythagoras'.
The distance formula is derived from the Pythagorean theorem. true or false?
True
How do you round the pythagorean theorem?
You don't round the theorem, you round the final result you obtain.
What is better the pythagorean therom or the disance formula?
Better for what??? Actually, both are closely related. The distance formula is derived from the Pythagorean theorem.
Was the Pythagorean Theorem proven?
Oh yes, the Pythagorean Theorem has been proven.
What shape does the Pythagorean theorem use?
The Pythagorean theorem uses the right triangle.
Can the distance formula can be derived from the Pythagorean theorem?
Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.
