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Question: find the lengths of the sides of the and8710pqr isandnbspand8710pqr...

Question details

Find the lengths of the sides of the PQR. Is PQR right-angled? Is PQR isosceles? P(2, −1, −0), Q(4, 1, 1) and R(4, −5, 2).


So I tried to calculate the distance between PQ QR and PR to prove they are Isosceles or right-angled triangle(by Pythagoras theorem)

by using formula (x2-x1)2+(y2-y1)2+(z2-z1)2 

and I calculated

PQ¯(4-2)2+(-1-1)2+(1-(-0))2

1st question, How do I calculate (1-(-0))2  isn't Negative zero same as zero?
 (assume -0 is not a typo)

PR¯(4-2)2+(-5+1)2+(2-(-0))2(Just going to assume 0 = -0 )

       = 24

QR¯ = (4-4)2+(-6)2+(1)2

      = 37  

2nd question, Could you please check my calculations are correct because I don't see any values to prove that PQR is not isosceles or Right-angled Triangle.
    

Please include worked solution if my approach is wrong
Thank you!



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