Question

Use the converse of the Pythagorean Theorem to determine whether the triangle with the given vertices is a right triangle.

(1, 4), (4, 2), (6, 6)
a.
Yes, it is a right triangle.
b.
No, it is not a right triangle.

Answer 1

Do you know to calculate distance between points?

Answer 2

no i do not

Answer 3

Well, you know pythagorean theorem?

Answer 4

yes

Answer 5

ok, so say we have something like this:

Answer 6

okay?

Answer 7

We have 2 points, on this cartesian axes system (the axis are perpendicular.. though it sure doesn't look like that in my terrible drawing..).
we have axes x and y. so each point has an 'x' value an a 'y' value.

Answer 8

The 'delta x' (\(\Delta x\)) and 'delta y' (\(\Delta y\))you see in the picture are the differences of those two components of the points.
And basically we can say:
$$
\Delta x = A_x - B_x \\
\Delta y = A_y - B_y
$$
(Where \(A_x\) is the 'x' value for point A for example)

Answer 9

so sorry but i dont get it... im taking a test and i need the answer :(

Answer 10

ok, from what I calculated it didn't end up as right triangle. I hope I didn't make a mistake, but that's the best I can give you right away.

Answer 11

okay thank you so much :)

Answer 12

Are you sure you don't want to study the subject?

Answer 13

yeah i just need answers cause i already took the class but i didnt pass... and im just making up the class online

Answer 14

Ok, just be aware this is a short-term solution. if you've more to come (even next year or so) then it's better to understand the material as the math gets more complicated as you go.
I'm talking from experience.. which I'd prefer to spare.

Answer 15

im a senior so hopefully there arent anymore of mathlike this lol but thanks

Answer 16

ok then =)

Answer 17

thanks usually people dont tell me the answer right away or they dont give me the answer at all :b