Mathematics 4024 · O Level · Pythagoras' theorem and trigonometry in 3D

Pythagoras' theorem and trigonometry in 3D — practice question

The diagram depicts a sketch of quadrilateral $ABCD$.
(a(i))[3]

Produce an accurate construction of $ABCD$. $AC$ has already been drawn for you.

(a(ii))[1]

Measure $\angle ADC$ from the diagram.

(a(iii))[1]

Use a suitable measurement from your diagram to determine the perimeter of quadrilateral $ABCD$.

(b(i))[3]

The diagram depicts a cuboid. $TW = 15\text{ cm}$, $WV = 10\text{ cm}$ and $RV = 8\text{ cm}$. Show that $TR = 19.7\text{ cm}$, correct to 1 decimal place.

(b(ii))[5]

$X$ lies at the midpoint of $PQ$. Calculate $\angle TRX$.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurately drawn quadrilateral with construction arcs

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