Mathematics 0580 · IGCSE · Pythagoras' theorem

Pythagoras' theorem — practice question

(a)[3]

Write the mathematical name beneath each triangle shown.

(b(i))[1]

Calculate the perimeter of this shape.

(b(ii))[3]

Calculate the area of this shape. Include the units in your answer.

(c(i))[1]

State a reason why angle ACB = $90^\circ$.

(c(ii))[3]

Calculate $AC$.

(c(iii))[5]

Calculate the shaded area.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Equilateral triangle

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