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KengaRu [80]
3 years ago
11

3. What three numbers are the Pythagorean triple generated by using 4 for x and 1 for y. Remember to use the formulas:

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Given:

Consider the three number are given by:

a=x^2-y^2

b=2xy

c=x^2+y^2

To find:

The three numbers are the Pythagorean triple generated by using 4 for x and 1 for y.

Solution:

We have,

a=x^2-y^2

b=2xy

c=x^2+y^2

Substituting 4 for x and 1 for y, we get

a=4^2-1^2

a=16-1

a=15

Similarly,

b=2(4)(1)

b=8

And,

c=4^2+1^2

c=16+1

c=17

The three three numbers are the Pythagorean triple are 8,15 and 17.

Therefore, the correct option is C.

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