“prove that A,Band C are the vertices of a right angled triangle”

The coordinates of A,B and C are given and the book solves it by finding the grad of AB, grad of BC and proving they are perpendicular but my question is could I find the distances between each vertice and prove it using Pythagoras?

The coordinates of A,B and C are given and the book solves it by finding the grad of AB, grad of BC and proving they are perpendicular but my question is could I find the distances between each vertice and prove it using Pythagoras?

(edited 1 month ago)

Original post by olygilly

“prove that A,Band C are the vertices of a right angled triangle”

The coordinates of A,B and C are given and the book solves it by finding the grad of AB, grad of BC and proving they are perpendicular but my question is could I find the distances between each vertice and prove it using Pythagoras?

The coordinates of A,B and C are given and the book solves it by finding the grad of AB, grad of BC and proving they are perpendicular but my question is could I find the distances between each vertice and prove it using Pythagoras?

The cos rule is the more general form and showing c^2=a^2+b^2 is equivalent to showing cos(C)=0 so C=pi/2. You could also have done Thales, so every vertex is the same distance from the centre of the hypotenuse.

(edited 1 month ago)

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