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Question

If the dimensions of the triangle PQR are as given, then find the set of possible coordinates of the points P, Q and R.


A
P(2,2); Q(2,5); R(6,2)
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B
P(3,3); Q(3,5); R(6,3)
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C
P(3,3); Q(3,6); R(6,3)
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D
P(2,2); Q(5,2); R(6,2)
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Solution

The correct option is A P(2,2); Q(2,5); R(6,2)
Plotting each set of coordinates and measuring the sides, we find:

Set 1:P(2,2); Q(2,5); R(6,2)


Set 2:P(3,3); Q(3,5); R(6,3)


Set 3:P(3,3); Q(3,6); R(6,3)


Set 4:P(2,2); Q(5,2); R(6,2)


Hence, the set of coordinates that forms the triangle PQR, as per the given data are:

P(2,2); Q(2,5); R(6,2)

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