Question

Verify whether the following points are collinear are not (1,-1), (4,1),(-2,-3).by using area of triangle formula
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Answer 1

Answer:

10

Step-by-step explanation:

We know that ,

If the area of a Δ is 0 units , then its vertices will be collinear . So ,

The area of triangle formed by the vertices A(1,-1) , B(4,1) , and C(-2,-3) , by using the above formula , is given by

⇒$\frac{1}{2} |1(1-(-3))+4((-3)-(-1))+(-2)((-1)-1)|$

⇒$\frac{1}{2} |(4+4(2)-2(-2))|$

⇒$\frac{1}{2} |4+4+8|$

⇒$\frac{1}{2} |20|$

⇒$\frac{20}{2}$

⇒$10$

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