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

Answer 1

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

Answer 2

\[A^2+B^2=C^2\]

Answer 3

a and b are the side lengths and c is the hypotenuse

Answer 4

is this making sense so far @meilendurcer ?

Answer 5

@Jamierox4ev3r yes

Answer 6

awesome, so you plug in your numbers

\[5^2+12^2=17^2\]

Answer 7

\[25+144\neq289\]

Answer 8

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

Answer 9

@meilendurcer ?

Answer 10

I can try

Answer 11

\[7^{2}+11^{2}=15^{2}\]

Answer 12

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.