Question

HELP! Find the area of a square with a diagonal of length 12.

Answer 1

Answer:

72 square units

Step-by-step explanation:

you can use the Pythagorean Theorem; because we're dealing with a square then each side can be assigned the same variable, let's use 'a'

a² + a² = 12²

2a² = 144

a² = 72

a = $\sqrt{72}$

$\sqrt{72}$ can be simplied as $\sqrt{9}$·$\sqrt{4}$·$\sqrt{2}$ which is 3·2·$\sqrt{2}$

each side has a length of 6$\sqrt{2}$

A = (6$\sqrt{2}$)² which is 6·6·2 or 72

Answer 2

Answer:

6

Step-by-step explanation: