Which of the following are measurements of the sides of a right triangle?

Question

anonymous · Answer

A. 3, 4, 5
B. 28, 26, 12
C. 17, 14, 6
D. all of the above

jhannybean · Answer

are you given a figure to draw? There isn't really any problem to solve...

anonymous · Answer

Why would you need a figure to draw? Use Pythag theorem.

anonymous · Answer

Use Pythagorean's theorem.  The 1st is obviously.

jhannybean · Answer

Pythagorean theorem on what exactly?

anonymous · Answer

all

anonymous · Answer

The question poses: Which of the below are sides of a right triangle. You have 3 sides. What is confusing you?

anonymous · Answer

C isn't a right triangle so it's only A.

jhannybean · Answer

Maybe i'm not understanding this question :\ How can you just pick an answer without proving that a triangle with measurements of 3,4,5 are a right triangle?...

anonymous · Answer

It says so in the question

jhannybean · Answer

:|

anonymous · Answer

either $a^2+b^2=c^2$ in which case the answer is "yes"
 or $a^2+b^2\neq c^2$ in which case the answer is "no"

jhannybean · Answer

I KNOW the answer is A. But if you were to prove is a right triangle,would you know how to do that?

anonymous · Answer

$$3^{2}+4^{2} = 9 + 16 = 25 = 5^{2}$$

anonymous · Answer

so only $2,4,5$ works, the rest do not

jhannybean · Answer

THANK YOU! that's what i was looking for. :)

jhannybean · Answer

@satellite73  could you elaborate please?

anonymous · Answer

You're welcome!

anonymous · Answer

the largest value always has to be C in the following equation (Pythagorean's) Thm)$$A^{2}+B^{2}=C^{2}$$

jhannybean · Answer

No what i'm confused about is what @satellite73  meant when he stated "only 2,4,5 work but the rest do not"

anonymous · Answer

must have mis-typed.