Question 24

$$PQR$$ is a triangle such that $$PQ = PR$$. $$RS$$ and $$QT$$ are the median to the sides $$PQ$$ and $$PR$$ respectively. If the medians $$RS$$ and $$QR$$ intersect at right angle, then what is the value of $$\left(\frac{PQ}{QR}\right)^2$$?

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