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.

Question

imstuck · Answer

If I were you I would probably use the distance formula and find the length of each of those sides.  The longest would e the hypotenuse, of course.  Then adding the squared values of the other two legs together to give you a sum of the squared value of the hypoteuse.  Do you understand what I'm telling you?

imstuck · Answer

Graph the triangle and label its sides and then find the length of each of the sides using the distance formula.

sydney3545 · Answer

i did this and it wasent a right triangle and i was wanting to know if thats right.

imstuck · Answer

i'm doing it now...brb, ok?

sydney3545 · Answer

Okay thanks

imstuck · Answer

You're correct...it is not a right triangle.  But you have to adjust it so it is, right?

sydney3545 · Answer

Yes and thats the part idk how to do

imstuck · Answer

working on it now...

sydney3545 · Answer

okay

imstuck · Answer

if you move the x coordinate to (1,2) from (1,1), and you moved the y coordinate to (6,6) from (5,6) you would have a right triangle.  That's what I say!

sydney3545 · Answer

Thanks ! Could you help me with one more?

imstuck · Answer

sure...I would love to help!

imstuck · Answer

TY for the medal!

sydney3545 · Answer

move the x coordinate to (1,2) from (1,1), and you moved the y coordinate to (6,6) from (5,6) you would have a right triangle.

For this one all i know is you have to make 4:1 into a fraction which would be 4/1

And welcome :)

sydney3545 · Answer

sorry the whole question wasent there 

A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 4:1 ratio. Find M. You must show all work to receive credit.

imstuck · Answer

Ok, let me work this one now and I will be right back with you, Ok?

sydney3545 · Answer

okay

imstuck · Answer

This one is quite tricky.  I will draw a pic and try to explain the reasoning behind the idea here, ok?

sydney3545 · Answer

okay thanks

imstuck · Answer

|dw:1405114143204:dw|That's the graph of your segment XY.  When they say that M partitions the line into a 4:1 ratio, they mean that M is positioned on that line somewhere so you know that the line is being segmented into 4 equal parts.  4:1 means that there are 4 parts that equal the 1 line.  So M would have to be positioned 1/4 of the way from the X coordinate.  The tricky part comes in doing the math to find that point.