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03-09-2020
Mathematics

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The diagonal of a square is 10m long. What is the length of the side of the square?(Give your answer to the nearest cm)

The diagonal of a square is 10m long What is the length of the side of the squareGive your answer to the nearest cm class=

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LazyBun LazyBun

03-09-2020

Answer: 500 sqrt(2)cm

Explanation:

Form: d = a sqrt(2)

Where d = diagonal = 10m and a = side length

10 = a sqrt(2)
10/sqrt(2) = a

Rationalize the denominator:
10/sqrt(2) x sqrt(2)/sqrt(2)
= 10 sqrt(2)/2
= 5 sqrt(2)

Thus, a = 5 sqrt(2)m

Change to cm:
5 sqrt(2) x 100cm = 500 sqrt(2)cm

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