Question

Calculate the length of the side of the square to 1dp.​

Answer 1

72 cm

Explanation:

You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x
`√(2)`.

This means
`x√(2) =12`, so
`x=(12)/(√(2) )`.

Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and
`x=(12)/(√(2) )` , you can square
`(12)/(√(2) )` to get the area. This is equal to
`(144)/(2)` or 72 cm.