If the area of a square is 12cm^2 what is the product of its diagonals?

1 Answer
Jun 25, 2015

The product of the diagonals of a square with area 12 cm^2 is 24 cm

Explanation:

If the area of a square is 12
each side has a length of sqrt(12)

The product of the diagonals is the same as the square of a diagonal (since the diagonals of a square are equal in length).

By the Pythagorean Theorem:
the square of a diagonal = sum of the squares of the two sides
color(white)("XXXX")=(sqrt(12))^2 +(sqrt(12))^2

color(white)("XXXX")=24