Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram represents triangle $ABC$ with $AB=17.2$ cm. The angle at $B$ is $54^\circ$ and the angle at $C$ is $68^\circ$.
(a)[3]

Calculate the value of $AC$.

(b)[3]

Calculate the value of $AM$.

(c)[3]

Calculate the shortest distance from $A$ to $BC$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Substitutes $\frac{\sin54}{17.2}$ or an equivalent sine-rule relation

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