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Consider two <u>right triangles</u>:
1. ΔABC with <u>vertices</u> A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (<u>vertical leg</u>), AC=6 units (<u>horizontal leg</u>).
2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).
The equation of the line BC is
Check whether points Y and Z lie on this line:
Y(6,0): - true;
Z(36,-10): - true.
Answer: the hypotenuses of these two triangles could lie along the same line