Question

show that A( 0, 0) B(5, 5) and c(-5 , 5) are the vertices of a right angled isocles triangr ​

Answer 1

Answer:

ANSWER

Let the vertices of the right isosceles triangle be A(0,0),B(5,5),C(-5,5)

AB=

25+25

=

50

BC=

(5+5)

2

+(5−5)

2

=

100

=10

AC=

(−5−0)

2

+(5−0)

2

=

50

∴AB=AC=

50

∴ △ABC is an isosceles right angled

Also, AB

2

+AC

2

=BC

2

⇒50+50=100