Question

Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

Answer 1

here is your answer !!!

to determine that we simply find the slope :-

so ,

slope of every side is given by


y2-y1 / x2-x1

so


5-4 / 3-4

=> -1

now

slope of other


y3-y1 / x3- x1

so

-1 -4 / -1-4

=> 1


now as we know that product of two perpendicular slope is equal to -1

so

we can observe from above observation that product is => -1

so we can say that we a right angle ∆


hope it help you !!

thanks !!