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Use Pythagoras' theorem to work out the length of DE in the cuboid below. Give your answer in centimetres (cm) to 1 d.p. E H 18 cm A D FL G 23 cm B 5 cm с​

Use Pythagoras' theorem to work out the length of DE in the cuboid below. Give your-example-1

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The length of DE in the cuboid is 18.7 cm to 1 d.p.

To find the length of DE using Pythagoras' theorem, we need to know the lengths of two of the other sides of the triangle. We can see that triangle FHG is a right-angled triangle, with FH = 5 cm and GH = 18 cm. Therefore, we can use Pythagoras' theorem to find the length of FG:

DE² = EH² + HD²

DE² = 5² + 18²

DE² = 25 + 324

DE = √349

DE ≈ 18.7 cm

Therefore, the length of DE in the cuboid is 18.7 cm to 1 d.p.

User John Baughman
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