Mathematics 4024 · O Level · Non-right-angled triangles

Non-right-angled triangles — practice question

Within the quadrilateral $ABCD$, $BD=3\text{ m}$. Also, $\angle BDA=27^\circ$ and $\angle BCD=41^\circ$. The angles $\angle DBC$ and $\angle DAB$ are right angles.
(a(i))[2]

Find the value of $AD$.

(a(ii))[3]

Find the value of $CD$.

(b)[3]

For triangle $PQR$, $PQ=3\text{ m}$ and $QR=5\text{ m}$. Its area is $6\text{ m}^2$. Find the two possible values of $\angle P\hat{Q}R$.

Worked solution & mark scheme

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