For the first right triangle
the points of the hypotenuse
(0,3)=(x1,y1)
(7,0)=(x2,y2)
the slope of the hypotenuse is
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-3}{7-0}=\frac{-3}{7}=-\frac{3}{7}[/tex]
and the equation of the hypotenuse
[tex]y=-\frac{3}{7}x+3[/tex]
For the second triangle
The points of the hypotenuse
(0,9)
(21,0)
[tex]m=\frac{0-9}{21-0}=\frac{-9}{21}=-\frac{3}{7}[/tex]
and the equation of the hypotenuse
[tex]y=-\frac{3}{7}x+9[/tex]
The equations are not equal but they have the same slope, which indicates that the equations are parallels.
The answer is
No, because one is larger than the other
