Properties of Figures - JSS1 Mathematics Past Questions and Answers - page 2
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Explain how the properties of a rectangle can be used to determine the length of its diagonals, and provide a step-by-step method to calculate them.
In a rectangle, the diagonals are equal in length and bisect each other at right angles.
To find the length of the diagonal 𝑑 of a rectangle with sides 𝑎 and 𝑏, you can use the Pythagorean theorem:
𝑑=𝑎2+𝑏2.
This formula derives from considering the rectangle as two right triangles with sides 𝑎, 𝑏, and diagonal 𝑑.