Mathematics 0580 · IGCSE · Right-angled triangles

Right-angled triangles — practice question

The sketch depicts a right-angled triangle ABC. AB measures $4(x-1)$ cm, while AC measures $(2x+5)$ cm. The triangle has area $30\text{ cm}^2$.

(a)[3]

Show that $2x^2 + 3x - 20 = 0$.

(b)[3]

Solve the equation $2x^2 + 3x - 20 = 0$ by factorisation.

(c)[3]

Calculate the length of $BC$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use $\frac12 \times 4(x-1)(2x+5)\sin90 = 30$.” …