Question

I need some guidance on this question:

Determine if triangle XYZ with coordinates X(1, 1), Y(5, 6), and Z(6, 2) is a right triangle. Use evidence to support your claim.

Answer 1

yes

Answer 2

draw it out on a piece of paper

Answer 3

@rocky2678 no direct answers. Show how you got the answer so the asker can learn

Answer 4

I've already graphed the coordinates. I just need help with the evidence part. How exactly would I show that it's not a right triangle?

Answer 5

I'm trying to learn so I can be able to do it myself

Answer 6

@AnimeAsgardian welcome to Openstudy!!!!

Answer 7

thank you ^.^

Answer 8

what do you know about the properties of right triangles?

Answer 9

think pythagorean theorem

Answer 10

hmm...yes I know about that

Answer 11

distance formula
now apply what you know

Answer 12

I do that on all of the sides right?

Answer 13

@rocky2678 Use evidence to support your claim.
what do you know about a right angle?

Answer 14

yes

Answer 15

I'm doing xy first? i think

Answer 16

the distance formula is basically the same as pythagorean theorem

Answer 17

yup

Answer 18

I got 41 for side xy

Answer 19

additional approach/support
perpendicular lines the product of the slope is -1

Answer 20

I am not actually doing this
if done correctly you will show c^2 = a^2 + b^2 and therefore a right angle triangle

Answer 21

if the product of the slopes of 2 lines is -1 then the 2 lines form a right-angle

Answer 22

wait what?

Answer 23

@triciaal I got 17 for yz