Mathematics 0580 · IGCSE · Non-right-angled triangles

Non-right-angled triangles — practice question

In triangle $TXZ$, the side $TX$ measures $12.5$ cm and angle $TZX$ is $37^\circ$. Point $Y$ lies on line $XZ$ so that $TY = 9.9$ cm, angle $XTY = 23^\circ$ and angle $TYZ = 72^\circ$.
(a(i))[4]

Calculate the value of $XY$.

(a(ii))[3]

Calculate the value of $TZ$.

(b)[4]

Calculate the radius of the circle.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Between $5.14$ and $5.142$.

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