Question

if A(4,3);B (-1,y) and C (3,4) are the vertices of the right angled triangle ABC. (A) =90 .then find the value of y.​

Answer 1

Answer:

y = -2

Step-by-step explanation:

Slope of AB

= (y-3)/(-1-4)

= (y-3)/-5

Slope of AC

= (4-3)/(3-4)

= 1/-1

= -1

Side AB is perpendicular to side AC

When two lines are perpendicular, the product of their slopes = -1

So,

(y-3)/-5 x -1 = -1

(y-3)/-5 = 1

y-3 = -5

y = -2