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

Non-right-angled triangles — practice question

The diagram shows $AB=8\text{ cm}$, $AC=11\text{ cm}$ and $DC=6.5\text{ cm}$. Also, $\angle B\hat{A}D=26^\circ$ and $\angle D\hat{A}C=30^\circ$.
(a)[4]

Calculate the length of $BC$.

(b)[3]

Calculate the obtuse value of angle $ADC$.

(c)[4]

Find what percentage of triangle $ABC$ is shaded.

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