Question

The diagonal of a square is 12 cm longer than the length of a side. Find the side.​

Answer 1

Answer: side length=12(
`√(2)+1`) cm

Explanation:

l=length of side.

12+l=
`\sqrt{2l^(2) }`

(12+l)/l=
`√(2)`

12/l+1=
`√(2)`

12/l=
`√(2)`-1

l/12=1/(
`√(2) -1`)

l=12/(
`√(2)-1`)

l=12(
`√(2)+1`)/
`(√(2) +1)(√(2) -1)`

l=12(
`√(2)+1`)/(2-1)

l=12(
`√(2)+1`) cm