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

Non-right-angled triangles — practice question

ABCDE is a pentagon that has one line of symmetry. $BC = DE = 10\text{ cm}$, $DC = 30\text{ cm}$ and $\angle BCD = \angle CDE = 90^\circ$. The minimum distance from $A$ to $DC$ is $22\text{ cm}$.
(a(i))[2]

Calculate the length of $AB$.

(a(ii))[3]

Calculate the value of $\angle ABC$.

(b)[3]

For triangle $PQR$, $PQ = 7\text{ cm}$, $PR = 9\text{ cm}$ and $\angle PQR = 65^\circ$. Calculate $\angle PRQ$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\sqrt{12^2 + 15^2}$

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