Question

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

Answer 1

Answer:

A = 8

Step-by-step explanation:

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

Answer 2

Answer:

8

Step-by-step explanation:

4/Squareof 2

=2.846578899078^2=8