Math, asked by Anonymous, 1 year ago

prove that (4,4),(3,5)and (-1,-1)are the vertices of a right angled triangle

Answers

Answered by Anonymous
46
Mark the points as A, B, C 

A: (4, 4) 
B: (3, 5) 
C: (-1, -1) 

Slope of AB = (5-4)/(3-4) = -1 
Slope of BC = (3+1)/(5+1) = 2/3 
Slope fo AC = (4+1)/(4+1) = 1 

Two lines are perpendicular if the product of their slopes is -1 

-1 × 1 = -1 

AB is perpendicular to AC 

ABC is a right-angled triangle with a right angle at A (4, 4)
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