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The coordinates of (triangle) ABC are A(-3,-1 ) , B( 5,1 ) and C (2,4)

(i) Calculate the length of AB , BC and AC
(ii) Hence, show that (triangle) is a right- angled triangle

1 answer

AB^2 = 64 + 4 = 68

BC^2 = 9 + 9 = 18

AC^2 = 25 + 25 = 50

Note that 68 = 50 + 18
therefore a right triangle

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