the Pythagorean theorem

a square + b square = c square
a square + x square = 4 square

how to find x square?

online we use ^ for powers. So,

a^2 + x^2 = 4^2
x^2 = 16-a^2

Online "^" is used to indicate an exponent, e.g., x^2 = x squared.

a^2 + b^2 = c^2

Cannot find x unless already know value of a and c. You only know c.

To find the value of x^2 in the equation a^2 + x^2 = 4^2, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In our equation, we have a right-angled triangle with sides a, x, and 4. We are trying to find the value of x^2.

Using the Pythagorean theorem, we can rewrite the equation as:

a^2 + x^2 = 4^2

Simplifying the equation, we have:

a^2 + x^2 = 16

To find x^2, we can rearrange the equation by isolating x^2:

x^2 = 16 - a^2

Therefore, to find x^2, subtract a^2 from 16.