Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

Triangle $PQR$ is similar to triangle $ABC$, with $\frac{PR}{AC} = \frac{2}{3}$. Also, $AB = 9\text{ cm}$ and the area of triangle $ABC$ is $18\text{ cm}^2$. Diagrams are not drawn to scale.
(a)[1]

Determine the length of $PQ$.

(b)[2]

Determine the area of triangle $PQR$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The value is $6$.

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