Which set of line segments with the given lengths form a right triangle?

A. 5, 12, 17

B. 7, 11, 15

C. 8, 15, 17

D. 14, 16, 20

Question

Which set of line segments with the given lengths form a right triangle?

A. 5, 12, 17 

B. 7, 11, 15 

C. 8, 15, 17 

D. 14, 16, 20

jamierox4ev3r · Answer

you would test all of these side lengths by plugging it in to the pythagorean theorem

jamierox4ev3r · Answer

$$A^2+B^2=C^2$$

jamierox4ev3r · Answer

a and b are the side lengths and c is the hypotenuse|dw:1374779981997:dw|

jamierox4ev3r · Answer

is this making sense so far @meilendurcer ?

meilendurcer · Answer

@Jamierox4ev3r yes

jamierox4ev3r · Answer

awesome, so you plug in your numbers

$$5^2+12^2=17^2$$

jamierox4ev3r · Answer

$$25+144\neq289$$

jamierox4ev3r · Answer

so we know that A is not correct. Can you prove the rest based from what i did with the first?

jamierox4ev3r · Answer

@meilendurcer ?

meilendurcer · Answer

I can try

meilendurcer · Answer

$$7^{2}+11^{2}=15^{2}$$

jamierox4ev3r · Answer

srry i was afk @meilendurcer

$$7^2+11^2=15^2 =49+121\neq225$$
so we know that B. is not correct either, which leaves us with either C. or D.