Question

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

Answer 1

A = 8

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{(c^(2))/(2) } \\\\a = \sqrt{(4^(2))/(2) } \\\\a = \sqrt{(16)/(2) } \\\\a = √(8) \\\\\\A = a^(2) = (√(8))^(2) = 8`

Answer 2

8

Explanation:

4/Squareof 2

=2.846578899078^2=8