Question

prove that the point A (1, 7), B (4,2) , C ( -1,-1) and D (-4,4) are the vertices of a right angled isosceles triangle.​

Answer 1

Step-by-step explanation:

i hope this helps you,thank you

Answer 2

Step-by-step explanation:

Let A(1, 7), B(4, 2) and(-1, -1) are the three vertices of a triangle ABC

Now,

AB =√{(1+1)2 +(7+1)2}

=√(4+64)

=2√7

BC=√{(4+1)2+(2+1)2}

=√(25+9)

=√34

and CA=√{(-1-1)2+(-1-7) 2}

= √(4+64)

=2√7

Since two vertices of the triangle are equal in length, therefore the three points are the vertices of an right isosceles triangle.