Question

if A(4,3) B (-1,y) and C(3,4) are the vertices if a right triangle right angled at A then find the value of y

Answer 1

Answer:

So, I have put a picture of the problem.

I worked it out on paper and came up with

answer: y = -2

Work shown:

AB2+AC2=BC2  

AB2=(4+1)2+(3−y)2

=25+(3−y)2

AC2=(4−3)2+(3−4)2

=1+1=2

BC2=(−1−3)2+(y−4)2

=16+(y−4)2

∴25+(3−y)2+2=16+(y−4)2

25+9−6y+y2+2=16+y2−8y+16

2y=−4

y = -2