Question

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

Answer 1

6

Explanation:

Answer 2

72 square units

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 =
`√(72)`

`√(72)` can be simplied as
`√(9)`·
`√(4)`·
`√(2)` which is 3·2·
`√(2)`

each side has a length of 6
`√(2)`

A = (6
`√(2)`)² which is 6·6·2 or 72