Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

For part (a), triangle ABC has sides AB = 6.2 cm and BC = 4.7 cm, with angle ABC = 82^{\circ}. The diagram is NOT TO SCALE. For part (b), triangle DEF has sides DE = 107 mm and DF = 75 mm, and the angle at D is marked $x^\circ$. The area of triangle DEF is 2050 mm$^2$. The diagram is NOT TO SCALE.
(a)[2]

Calculate the area of triangle $ABC$.

(b)[2]

Work out the value of $x$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Using the relevant formula gives $\frac{1}{2} \times 6.2 \times 4.7 \times \sin 82$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI