The following sets of numbers are possible side lengths of a triangle. which of the following sets forms a pythagorean triple?
a. 18, 24, 42
b. 45, 28, 53
c. 15, 30, 45
d. 33, 77, 22

Option B is the correct answer.

Step-by-step explanation:

A Pythagorean triple has 3 positive integers a, b, and c and the formula is given as :

Now, we will check all the options whereby we will take the smallest values as a and b.

A. 18, 24, 42  

=>

=>

This is wrong option.

B. 45, 28, 53

=>

=>

This is the correct option.

C. 15, 30, 45

=>

=>

This is the wrong option.

D. 33, 77, 22

=>

=>

This is the wrong option.

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