Question

using the diagram of a right triangle given below, the relation between x, y, and z is $z^{2}=square$

Explanation:

Step1: Recall Pythagorean theorem

In a right - triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
If \(z\) is the hypotenuse and \(x\) and \(y\) are the legs of the right - triangle, then \(z^{2}=x^{2}+y^{2}\).

Answer:

\(x^{2}+y^{2}\)