Question

1) Prove that the points P(-1,1) , Q(2,3) and R(2,1) are the vertices of a scalane triangle. 2)Prove that the points A(4,5) , B(4,4) C (2,-1) form a scalene triangle.

Answer 1

Step-by-step explanation:

P(-1,1), Q(2,3), R(2,1)

Let P(-1,1)be x1and y1

Q(2,3)be x2 and y2

therefore, by distance formula

d(PQ)= root (x2-x1)^2+(y2-y1)^2

= root[ 2-(-1)] + (3-1)

=root (2+1)^2+2^2

= root (3square +2square )

= root 9+4

d( PQ) = root 13.........(1)

Now find distance QR and PR then prove that the three sides are not equal and therefore it is a scalene triangle

2nd also do the same.

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