(a)[3]
Calculate the length of BC.
(b)[3]
Calculate the value of angle DBC.
(c)[4]
Calculate the length of the shortest distance from D to AB.
Mathematics 0580 · IGCSE · Non-right-angled triangles
Non-right-angled triangles — practice question
The diagram represents field ABCD, which has the form of a quadrilateral. BD is a straight route across the field. AB = 180 m, BD = 300 m, DC = 112 m and angle BDC = $140^\circ$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “M2 awarded for \(\sqrt{300^2+112^2-2\times300\times112\times\cos140}\)” …
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