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two right triangles are graphed on a coordinate plane one triangle has a vertical side of Brie and a horizontal side of seven the other triangle has a vertical side of 9 and a horizontal side of 21 cuz the hypotenuse is of these two triangles lie along the same line

two right triangles are graphed on a coordinate plane one triangle has a vertical-example-1
User Clemtoy
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1 Answer

21 votes
21 votes

For the first right triangle

the points of the hypotenuse

(0,3)=(x1,y1)

(7,0)=(x2,y2)

the slope of the hypotenuse is


m=(y_2-y_1)/(x_2-x_1)=(0-3)/(7-0)=(-3)/(7)=-(3)/(7)

and the equation of the hypotenuse


y=-(3)/(7)x+3

For the second triangle

The points of the hypotenuse

(0,9)

(21,0)


m=(0-9)/(21-0)=(-9)/(21)=-(3)/(7)

and the equation of the hypotenuse


y=-(3)/(7)x+9

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

User Steve Willard
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