Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram depicts quadrilateral $ABCD$, together with the lengths and angles that are given.
(a)[3]

Calculate angle $ADB$.

(b)[4]

Calculate $DC$.

(c)[3]

Calculate the shortest distance from $C$ to $BD$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: By the cosine rule, $\cos=\dfrac{8.6^2+9.7^2-4.4^2}{2\times8.6\times9.7}$

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