Math, asked by dmshivakumar5624, 10 months ago

Show the points (1,-1)(5,2)&(9,5) cannot form a triangle

Answers

Answered by sethuarunjuwalp7swqx
0

Step-by-step explanation:

By triangle formula in coordinate geometry,

 \frac{1}{2} (1(2 - 5) + 5( 5 + 1) + 9( - 1 - 2)) \\  \frac{1}{2} (1 \times  ( - 3) + 5(6) + 9( - 3) \\  \frac{1}{2} ( - 3 + 30 - 27) \\  \frac{1}{2} (30 - 30) \\  \frac{1}{2} (0) \\ 0

If the points are in straight line the they form zero which donot form a triangle(collinear)

HENCE PROVED

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