Hi, 

mathematically or on a sketch:  (5,-5) is out

5,-5

1,1)  D = sqrt(4^2 + -6^2)= sqrt(52)

5,-5

5,1  D = sqrt(0 + -6^2) = 6



 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 I'm trying to find an easy way to solve this problem. More mathematically rather than by drawing it in the graph and deduce it. 

Question: Triangle ABC is isosceles, with A at (1,1) and B at (5,1). Which of the following could not be point C?

a. (1, -3)

b. (1,5)

c. (3, -2)

d. (3,3)

e. (5, -5)

-------------

If AB is the base and the other 2 sides are equal, point C has to be on the perpendicular bisector of AB --> its x value has to be 3.

--> c & d would make an isoceles triangle

----------

The length of AB is 4 units.  If it's one of the 2 equal sides another side has to be length 4.

--> a & b would fit

-----

e would make the side 6 units and perpendicular to AB --> not allowed.

 

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