Mathematics 0580 · IGCSE · Pythagoras' theorem

Pythagoras' theorem — practice question

The diagram depicts a rectangular field, $ABCD$, together with a straight path, $BD$. Here $BD = 93.5\text{ m}$ and $BC = 82.5\text{ m}$.

(a)[3]

Calculate the length of the segment from $C$ to $D$.

(b)[1]

Determine how much more distance Yan covers than Lee.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$93.5^2=82.5^2+CD^2$” …