Let a and b represent positive real numbers. Explain why the triangle with vertices at A(a,0), B(0,a) and C(0,0) is an isosceles right triangle.
What will be an ideal response?
, we apply the Slope Formula to show that 
or 0; thus, 
is horizontal. Also, 
, which is undefined; thus, 
is vertical. Then 
,so is a right triangle.
Because is horizontal, its length is the positive difference is x coordinates; that is, 
or a. Because is vertical, its length is the positive difference in its y coordinates; that is, 
or a. Then 
and is also isosceles.
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A. 
B. 
C. 
D. 
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