Vertices of a right triangle

Show that the points D(2,1), E(4,0), F(5,7) are vertices of a right triangle.

Correct answer:

d =  0

Step-by-step explanation:

x1=2 y1=1 x2=4 y2=0 x3=5 y3=7  a=(x1x2)2+(y1y2)2=(24)2+(10)2=52.2361  b=(x1x3)2+(y1y3)2=(25)2+(17)2=3 56.7082  c=(x2x3)2+(y2y3)2=(45)2+(07)2=5 27.0711  c2=a2+b2? d=c2a2b2=7.071122.236126.70822=0

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