Mathematics 4024 · O Level · Similarity

Similarity — practice question

The diagram depicts triangle $ABC$. Point $D$ lies on $AC$ so that $\angle BDC = \angle ABC$.
(a)[2]

Explain why triangle $BDC$ and triangle $ABC$ are similar.

(b)[2]

If $AC = 10$ cm, $BC = 8$ cm and $BD = 6$ cm are given, calculate $AB$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The angle at C is common to both triangles; $\angle BDC = \angle ABC$; therefore the triangles are similar.

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