Mathematics 0580 · IGCSE · Right-angled triangles

Right-angled triangles — practice question

The diagram depicts triangles $ABC$ and $BCD$; each one is right-angled. The labelled lengths are $AC = 8.2\,$cm, $BC = 5.3\,$cm, $CD = y\,$cm, $BD = 4.4\,$cm, and the angle at A is marked $x^\circ$. The figure is not drawn to scale.
(a)[3]

Calculate the value of $y$.

(b)[2]

Calculate the value of $x$.

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