Question

Which set of numbers could represent the lengths of the sides of a right triangle?
a.)8, sqrt57, 11
b.)6, sqrt7, 13
c.)4, sqrt31, 9
d.)11, sqrt42, 13

Answer 1

This sort of question again? :)

ok, let's go through it, shall we?

To test whether the three values in your choice form the sides of a right triangle, square them all.

Then check if the biggest is the sum of the two smaller ones. If it is, then you found the right triangle :D

Answer 2

Deminstraight please? ;)

Answer 3

Let's check (c)

They are
\[4, \sqrt{31}, 9\]
square the three of them, you get
\[16, 31, 81\]
Now the biggest of these is 81, but it is NOT the sum of the two smaller numbers
hence, these sides do not represent the sides of a right triangle at all.

Can you do it now? :)

Answer 4

One question, why didn't you square 31? ^

Answer 5

I did. It was sqrt31, wasn't it? so to square it, you just remove the radical :D

Answer 6

Oh right!

Answer 7

Thanks

Answer 8

No problem. I bet you're getting the hang of this by now ;)

Answer 9

Somewhat, I'm getting there!

Answer 10

Keep trying, practice makes perfect :D

Answer 11

So i solved it and I think it's D?

Answer 12

You can correct me, I won't be offended :)

Answer 13

Well, let's try, shall we?
Squaring the three numbers gives us
121, 42, 169

Is
169 = 121 + 42?
(I didn't think so)

Check the others :D

Answer 14

A??

Answer 15

Yeap, you got it :D

Answer 16

:DDD