Compute the length of the diagonal of a square of side 10 metres, correct to centimetres.

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Solution

Length of the side of the square = 10 m

Let the length of the diagonal be a m.

We know that each angle in a square measures 90°.

By applying Pythagoras theorem in the right-angled triangle formed by joining the diagonal, we have:

Thus, the length of the diagonal is approximately equal to 14.1 m.

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Compute the length of the diagonal of a square of side 10 metres, correct to centimetres.

Length of the side of the square = 10 m Let the length of the diagonal be a m. We know that each angle in a square measures 90°. By applying Pythagoras theorem in the right-angled triangle formed by joining the diagonal, we have: Thus, the length of the diagonal is approximately equal to 14.1 m.