SOLUTION: Show that the points A (3,-5), B (-3,-1) and C (7,1) are vertices of an isosceles triangle. Find the area? Help pls. with graph and solution!

Algebra ->  Equations -> SOLUTION: Show that the points A (3,-5), B (-3,-1) and C (7,1) are vertices of an isosceles triangle. Find the area? Help pls. with graph and solution!      Log On


   

Question 684156: Show that the points A (3,-5), B (-3,-1) and C (7,1) are vertices of an isosceles triangle. Find the area? Help pls. with graph and solution!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint:

Find the distance between

* Points A and B

* Points B and C

* Points A and C

if two of those distances are the same, then you have an isosceles triangle

You can use the distance formula to do the above

distance formula: d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29

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To find the area, you can use hero's or herons formula, which can be seen at the link below (if you forget it)

http://www.mathsisfun.com/geometry/herons-formula.html


Let me know if you need more help with this. Thanks.