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IMSO 2023 Mathematics – International Essay Question 8

IMSO Maths · IMSO 2023 Mathematics – International Essay

Question 8

In the triangle ABC, points D, E and F are on $\overline{BC}$, $\overline{CA}$ and $\overline{AB}$, respectively, so that BD : DC = CE : EA = AF : FB = 3 : 2, as shown in the figure. If the area of the shaded area is 100 cm², what is the area, in cm², of the triangle ABC?

Question illustration