Mathematics 0580 · IGCSE · Right-angled triangles

Right-angled triangles — practice question

A triangle’s angles are shared in the ratio 2 : 3 : 5.
(a(i))[1]

Demonstrate that the triangle is right-angled.

(a(ii))[3]

Apply trigonometry to find the length of the shortest side of this triangle.

(b(i))[2]

Calculate the length of the longest side in the triangle.

(b(ii))[3]

Calculate the smallest angle in the triangle.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “So $180 \div (2 + 3 + 5) \times 5 = 90$.” …

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