Jagdish has a field which is in the shape of a right angled triangle AQC. He wants to leave a space in the form of a square PQRS inside the field for growing wheat and the remaining for growing vegeta

Question

Jagdish has a field which is in the shape of a right angled triangle AQC. He wants to leave a space in the form of a square PQRS inside the field for growing wheat and the remaining for growing vegetables (as shown in the figure). In the field, there is a pole marked as O.

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Based on the above information, answer the following questions:

(i) Taking O as origin, coordinates of P are $(-200, 0)$ and of Q are $(200, 0)$. PQRS being a square, what are the coordinates of R and S?

Accepted Answer

Step 1: Side $PQ = 200 - (-200) = 400$ m. Since PQRS is a square with PQ along x-axis, R and S are directly above Q and P respectively at height 400.
Step 2: $R(200, 400)$, $S(-200, 400)$

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