The type of triangle formed by the points A (5, 6), B (4, 2) and C (7, 5) is Scalene triangle
If true then enter $1$ and if false then enter $0$

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Solution

$L e t t h e p o i n t s A (x_{1}, y_{1}) = (5, 6), B (x_{2}, y_{2}) = (4, 2), C (x_{3}, y_{3}) = (7, 5) b e t h e v e r t i c e s o f t h e Δ A B C . A B = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} = \sqrt{{(4 - 5)}^{2} + {(2 - 6)}^{2}} u n i t s = \sqrt{17} u n i t s . B C = \sqrt{{(x_{3} - x_{2})}^{2} + {(y_{3} - y_{2})}^{2}} = \sqrt{{(7 - 4)}^{2} + {(5 - 2)}^{2}} u n i t s = \sqrt{18} u n i t s . C A = \sqrt{{(x_{3} - x_{1})}^{2} + {(y_{3} - y_{1})}^{2}} = \sqrt{{(5 - 7)}^{2} + {(5 - 6)}^{2}} u n i t s = \sqrt{5} u n i t s . A B \neq B C \neq C A . S o Δ A B C i s a s c a l e n e o n e . A n s - A B C i s a s c a l e n e Δ .$

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