Question

Find the side and perimeter of a square whose diagonal is10cm

Answer 1

Find the length of the side:

Let the side be x

a² + b² = c²

x² + x² = 10²

2x² = 100

x² = 50

x = √50

x = 5√2

The length of the side is 5√2 cm

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Find the perimeter:

Perimeter = 4x Length

Perimeter = 4 x 5√2

Perimeter = 20√2 cm

The perimeter is 20√2

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Answer: The length of the side is 5√2 and the perimeter is 20√2.