SOLUTION: 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,

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Question 613738: 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)
Advance thanks for checking into this.
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

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