3. What three numbers are the Pythagorean triple generated by using 4 for x and 1 for y. Remember to use the formulas: a = x2 - y2, 6 - 2xy, and C = x2 + y2
O 6, 8, and 10
O 5, 11, and 12
O 8, 15, and 17
O 3, 5, and 8

Given:

The three equations for the three numbers are

To find:

The Pythagorean triple generated by using 4 for x and 1 for y.

Solution:

Substituting x=4 and and y=1 in the given equations, we get

In the same way find b and c.

The third number is

The required Pythagorean triple is 8, 15, and 17.

Therefore, the correct option is C.

it is a reproduction.

step-by-step explanation: