The sum of a [single] square equals the square.
It is the sum of its 4 equal sides.
It can be, it need not be.
Not unless at least one of the numbers is zero.
-31
Yes. If you square each of his legs and add them, the sum is equal to the square of his hypotenuse.
The perimeter of a square is the sum of the four equal sides.
It is the sum of its 4 equal sides.
81
It can be, it need not be.
Not unless at least one of the numbers is zero.
Yes
-31
Yes. If you square each of his legs and add them, the sum is equal to the square of his hypotenuse.
The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.
It is Pythagoras' theorem
In a right angled triangle its hypotenuse when squared is equal to the sum of its squared sides which is Pythagoras' theorem for a right angle triangle.
The sum of square roots is zero only when all the square roots involved are equal to zero. Since the square root of any non-negative number is non-negative, the only way for their sum to equal zero is if each term in the sum is zero itself. Therefore, if you have (\sqrt{a} + \sqrt{b} + \sqrt{c} = 0), it implies that (a = 0), (b = 0), and (c = 0). In any other case, the sum will be positive.