Question

Ok so for geometry i need to answer this question but i am confuesed... 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. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific. Will give medal... @preetha @nincompoop

Answer 1

define the distances between the points; or plot them and connect the dots

Answer 2

we can determine a 90 degree angle if the slopes of connecting lines multiply to get -1

there are a few ways we can acually approach the solution.

Answer 3

ok

Answer 4

im thinking its more workable with the slope approach

define the slope between XY = a
define the slope between YZ = b
define the slope between ZX = c

if any 2 slopes multiply out to -1, then we have a right angle between them

does ab = -1?
does ac = -1?
does bc = -1?

Answer 5

ok im working it out now give me a couple minutes

Answer 6

No none of them equal -1 but i might have done something wrong @amistre64

Answer 7

what are our slopes?

Answer 8

so the triangle is not a right triangle

Answer 9

lets see if youve got the correct workings before we go into that :)

Answer 10

xy= 5/4
yz= 1/4
zx= 1/5

Answer 11

i got -4/1 not 1/4

Answer 12

sorry i did zy not yz

Answer 13

order of points doesnt matter