Question

Which of the following sets could be the sides of a right triangle?

a. {5, 8, 12}

Answer 1

b.{2, 3,\[\sqrt{10}\]}
c.{3, 5,\[\sqrt{34}\]}

Answer 2

The valid set must comply with Pythagoras Theorem which means that in the set there must be a number whose square is the sum of the squares of the other two.
If I take the first option {5, 8, 12} and calculate the squares, I get {25,64,144} and there is no way to make any of hese numbers be the sum of the other two:
25+64=89<>144
25+144=169<>64
64+144=208<>25
Then, option a) is not valid
Play with the other choices and get back to me with your proposed solution

Answer 3

theres b. {2,3, \[\sqrt{10}\]}
and c. {3,5,\[\sqrt{34}\]}

Answer 4

I know, but I am not going to give you the answer. I have given you the clue to find out yourself. Repeat what I hhave done for the other two options

Answer 5

its c

Answer 6

why?

Answer 7

idk.. can you tell me how you did it step by step?

Answer 8

Take option b) and give me the sqaure of each one of the numbers