Mathematics 0580 · IGCSE · Pythagoras' theorem

Pythagoras' theorem — practice question

The diagram shows a triangle with two equal sides of $5\,\text{cm}$, a base measuring $4\,\text{cm}$, and a perpendicular height $h$ dropped from the top vertex to the base.
(a)[3]

Calculate the height, $h$, of the triangle.

(b)[3]

The triangle is one face of a square-based pyramid. On the $1\,\text{cm}^2$ grid, draw a net of this pyramid.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses power calculation $5^2 - 2^2$ or better

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