Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram represents triangle $ABC$. Point $X$ lies on $BC$. $AX = 10.6$ cm, $XC = 6.4$ cm, angle $ABC = 58^{\circ}$ and angle $AXB = 78^{\circ}$.

(a)[4]

Calculate the length of $AC$.

(b)[4]

Calculate the length of $BX$.

(c)[3]

Calculate the area enclosed by triangle $ABC$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$13.47\ldots$ or $13.5$” …