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Show That the Points Form the Vertices of the Indicated (5)2+(5)2=(10)2( \sqrt { 5 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }

Question 241

Multiple Choice

Show that the points form the vertices of the indicated polygon.
Right triangle: (3, 5) , (5, 6) , (6, 4)


A) (5) 2+(5) 2=(10) 2( \sqrt { 5 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }
B) (31) 2+(5) 2=(10) 2( \sqrt { 31 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }
C) (7) 2+(5) 2=(10) 2( \sqrt { 7 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }
D) (11) 2+(5) 2=(10) 2( \sqrt { 11 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }
E) (34) 2+(5) 2=(10) 2( \sqrt { 34 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } = ( \sqrt { 10 } ) ^ { 2 }

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