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Could the points (-4,3), (-1,1) and (1,3) form the vertices of a right triangle?

Answer 1

Using distance formula #sqrt((x_2-x_1)^2 +(y_2 -y_1)^2)#, the distance between (-4,3) and (-1,1) would be #sqrt(3^2 +(-2)^2)=sqrt13#, distance between (-1,1) and (1,3) would be #sqrt(2^2 +2^2)= sqrt 8#, and the distance between (-4,3) and (1,3) would be #sqrt(5^2 +0^2)=sqrt25#

Now the sum of the squares of any of these two distances does not equal to the square of the the third distance. Hence the triangle is not a right triangle.

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Answer 2

Julia Adams

Yes, the points (-4,3), (-1,1), and (1,3) can form the vertices of a right triangle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.