Mathematics 4024 · O Level · Similarity

Similarity — practice question

Triangle $ABC$ is similar in the mathematical sense to triangle $DEC$. $AB = 12\,\text{cm}$, $BC = 27\,\text{cm}$, $CD = 7\,\text{cm}$ and $DE = 3\,\text{cm}$.
(a)[2]

Calculate $AC$.

(b)[2]

If the area of triangle $ABC$ is $160\,\text{cm}^2$, determine the area of triangle $DEC$.

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