Mathematics 4024 · O Level · Non-right-angled triangles

Non-right-angled triangles — practice question

The figure contains triangle $ABC$ along with triangle $ABD$. Here $AB = 12\text{ cm}$, $BD = 7\text{ cm}$ and $AD = 6\text{ cm}$. Also, angle $DAC = 32^{\circ}$ and angle $BCA = 48^{\circ}$.
(a)[4]

Calculate the value of angle $BAD$.

(b)[4]

Calculate the value of $AC$.

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