Question

Show that the triangle PQR formed by the
points P(√2,√2), Q(-√2,- √2) and R (-√6,-√6) is
an equiliteral triangle​

Answer 1

Step-by-step explanation:

Byusingdistanceformula

⇒PQ=

0

2

+(2

2

)

2

=2

2

unit

⇒QR=[

(−

6

+

2

)

2

+(

6

+

2

)

2

=

6+2−2

12

+2

12

+6+2

]

⇒QR=

16

=4unit

⇒RP=

(−

6

+

2

)

2

+(

6

−

2

)

⇒RP=

6−2

12

+2+6−2

12

+2

⇒RP=

16−4

12

unit

∴PQ



=QR



=RP

Itisscalenetriangle.

solution