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Anna007 [38]
4 years ago
6

Find the area of a square with a diagonal of 4 cm.

Mathematics
2 answers:
Olin [163]4 years ago
8 0

Answer:

A = 8

Step-by-step explanation:

A = a^{2} \\\\a^{2} + b^{2} = c^{2} \\\\a = b \\------\\\\a^{2} + a^{2} = c^{2} \\\\2 * a^{2} = c^{2} \\\\a = \sqrt{\frac{c^{2}}{2} } \\\\a = \sqrt{\frac{4^{2}}{2} } \\\\a = \sqrt{\frac{16}{2} } \\\\a = \sqrt{8} \\\\\\A = a^{2} = (\sqrt{8})^{2}  = 8

kodGreya [7K]4 years ago
6 0

Answer:

8

Step-by-step explanation:

4/Squareof 2

=2.846578899078^2=8

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