The sets of numbers 6, 8, 10 and 5, 12, 13 are pythagorean triples. use what you know about the pythagorean theorem and explain or show why they are pythagorean triples. be sure to show your work for each set of triples!

we know that

Three whole numbers a, b, c which satisfy the equation of the Pythagorean Theorem are called Pythagorean triples

The Pythagorean Theorem states that in a right triangle

where

c-----> is the hypotenuse (larger side)

a and b -----> are the legs

Part a) we have

in this problem

substitute in the formula above

------> the equation is true

therefore

the answer Part a) is

The numbers are Pythagorean triples

Part b) we have

in this problem

substitute in the formula above

------> the equation is true

therefore

the answer Part b) is

The numbers are Pythagorean triples

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

50*10 is greater

step-by-step explanation:

if you add the zero from 10 to 50, it will give you a bigger number.