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Similarity of Triangles — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsSimilarity of Triangles3 Marks
Question
In $\triangle \mathrm{ABC}, \angle \mathrm{ABC}=\angle \mathrm{DAC}, \mathrm{AB}=8 \mathrm{~cm}$. $\mathrm{AC}=4 \mathrm{~cm}$ and $\mathrm{AD}=5 \mathrm{~cm}$
(a) Prove that $\triangle \mathrm{ACD} \sim \triangle \mathrm{BCA}$
(b) Find BC and CD
(c) Find $\operatorname{ar}(\triangle \mathrm{ACD})$ : $\operatorname{ar}(\triangle \mathrm{ABC})$
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