Question

Use the Pythagorean identity on page 10 with x = 4 and y= 3 to generate a Pythagorean triple​

Answer 1

c. 7, 24, 25

Explanation:

For the formulas ...

• a=x^2-y^2
• b=2xy
• c=x^2+y^2

we can use the given values of x and y to find the corresponding Pythagorean triple:

a = 4^2 -3^2 = 16 -9 = 7

b = 2·4·3 = 24

c = 4^2 +3^2 = 16 +9 = 25

The generated Pythagorean triple is (7, 24, 25), matching answer C.