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Drupady [299]
3 years ago
8

What is the perimeter of a square if the length of one of the diagonals is 12 cm?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

Use Pythagorean theorem to find the length of the square.

Length of the square = a

a² +a² = diagonal²

2a² = 12²

2a² = 144

a² = 144 ÷ 2

a² = 72

a =\sqrt{72}\\\\  = \sqrt{2*2*2*3*3}\\\\ = 2*3\sqrt{2}\\\\a = 6\sqrt{2}\\\\\\\\Perimeter= 4a\\\\ = 4*6\sqrt{2}\\\\= 24\sqrt{2} cm

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