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Right triangle PQR is to be constructed in the xy- plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinates of P,Q, and R are to be integers that satisfy the inequalities -4x5 and 6 16. How many diffrent triangles could be constructed with these properties ?
  • a)
    110
  • b)
    1100
  • c)
    9900
  • d)
    10000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Right triangle PQR is to be constructed in the xy- plane so that the r...
Coordinates of P(Xp,Yp) can be selected in 10*11=110 ways.
Once P is fixed, Yr = Yp is fixed, and there are 9 choices for Xr.
Similarly, Xq = Xp is fixed, and there are 10 choices Yq.
Total triangles = 110*9*10 = 9900.
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Right triangle PQR is to be constructed in the xy- plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinates of P,Q, and R are to be integers that satisfy the inequalities -4x5 and 6y16. How many diffrent triangles could be constructed with these properties ?a)110b)1100c)9900d)10000Correct answer is option 'C'. Can you explain this answer?
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