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  • 20-12-2018
  • Mathematics
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Find the diagonal of a square whose sides are 5cm long

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znk
znk znk
  • 20-12-2018

Answer:

5√2 cm or 7.1 cm

Step-by-step explanation:

We can use Pythagoras' Theorem:

The square on the diagonal is equal to the sum of the squares of the other two sides.

d² = 5² + 5²

d² = 25 + 25

d² = 50

d = √50

d  = √(25×2)

d = 5√2

d≈ 7.1 cm

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