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VTMO 2016 — Grade 9 — semifinal Question 13

VTMO · VTMO 2016 — Grade 9 — semifinal

Question 13

Right triangle $P _{1} QR _{1}$ has $QP _{1} 2 \,\mathrm{cm} , QR _{1} 5 \,\mathrm{cm}$. Extend each ray with successive points $1 \,\mathrm{cm}$ apart. Find $n$ such that area $P _{n} P _{n}$₊$_{1} R _{n}$₊$_{1} R _{n}$ is $2016 \,\mathrm{cm}^{2}$.

Question illustration