Question

The points (2,4), (4,2), (7,1) are the vertices of which triangle and it's solution​

Answer 1

Answer:

ANSWER

P(2,−4)Q(4,−2)R(7,1)

Check for option A

PQ=22

QR=32

RP=52

Not an equilateral Δ

Now, equation of line of PQ

(x−4)(1)=y+2

x−y=6

Satisfies point R

Hence PQR are collinear point.

Answer 2

Answer:

scalen triangle

Step-by-step explanation:

1.                  Let A=(2,4)   B=(4,2)  C=(7,1)                                                                                                                AB= square root 2^2+(-2^2)= square root  4+4= square root 8 units                                            

       BC=square root 3^2+(-1^2)= square root 9+1= square root 10 units

        CA=square root 5^2+(-3^2)= square root 25+9=square root 34 units                                         NO SIDES ARE EQUAL