Five mark example problem III — task. Mathematics State Board, Class 10.

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Without using Pythagoras theorem, show that the vertices

$(1,-4)$ ,

$(2,-3)$ and

$(4,-7)$ form a right angled triangle.

Answer:

Slope of

$AB =$

Slope of

$BC =$

Slope of

$AC =$

Therefore,

$\triangle ABC$ is because the product of the slopes of

$AB$ and

$AC$ is .

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