Jack and andrea want to create a right triangle together using values of sand y and the polynomial identity to generate
pythagorean triples. if andrea picks a value of x=2, and the hypotenuse of the resulting night stangle is 5. what natural
number value of y did jack pick?

A right triangle can be considered as a special type because the relationship of its sides can be described using the hypotenuse formula: c^2 = a^2 + b^2 or c^2 = x^2 + y^2 where, c is the hypotenuse of the triangle and is the side opposite to the 90° angle while a and b are the sides adjacent to the 90° angle.

In the problem statement, we are given that one of the side has a measure of 2 = x, while the hypotenuse is 5 = c, therefore calculating for y: y^2 = c^2 – x^2 y^2 = 5^2 – 2^2 y^2 = 21 y = 4.58

Explanation:

The natural number is the number before the decimal. Therefore the answer is: y = 4