CEMC Galois, 2010

Geometry Difficulty 2.0 Junior Prove it Canada

In $\triangle PQR$ , point $T$ is on side $QR$ such that $QT = 6$ and $TR = 10$ . Explain why the ratio of the area of $\triangle PQT$ to the area of $\triangle PTR$ is $3 : 5$ .

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