Which definition best describes Pythagorean triples? A. Sets of three whole numbers (a, b, and c) that satisfy the equation

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

Answer:

Option C) Any three numbers, each of which is squared is correct

Step-by-step explanation:

By using Pythagorean Theorem:

Pythagorean theorem is also called as Pythagoras' theorem. It is a fundamental relation among the three sides of a right triangle.

It states that the length of the square of hypotenuse side is equal to the sum of the lengths of the squares of the opposite side and adjacent side.

$a^{2}+b^{2}=c^{2}$

where c is the length of the hypotenuse side and a and b are the lengths of the opposite and adjacent sides of triangle's.

Therefore Option C) Any three numbers, each of which is squared is correct

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$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$