Mathematics 0580 · IGCSE · Pythagoras' theorem

Pythagoras' theorem — practice question

The figure shows two right-angled triangles, $ABC$ and $ACD$. For triangle $ABC$, $AB=39\text{ cm}$ and $BC=52\text{ cm}$. For triangle $ACD$, $CD=25\text{ cm}$. The side $AD$ is marked as $x$ cm. The figure is not drawn to scale.
(main)[4]

Determine the value of $x$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “M3: use $39^{2} + 52^{2} - 25^{2} = x^{2}$” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI