Question

A rectangle sheet of paper measures 60cm by 40cm.use a scale of the sheet of paper. Hence find the length of a diagonal of the sheet of paper?.

Answer 1

`72.111`

Explanation:

Well... simply use the formula that in a right-angled triangle...
`a^2+b^2=c^2`
Distribute the rectangle sheet of paper into two triangles like this..

Now... let
`60=a`
`40=b`

Then....
`60^2+40^2=c^2`
If you're thinking that it's a very big number and how will you multiply it... notice that there's a zero in the end so it's just like this
`60^2=3600` as `6^2=36` and you added two zero's as there is one in the square root
Solve
`3600+1600=c^2`
`5200=c^2`
It is not a perfect square but notice that it's between `72^2=5184` and `73^2=5329`

But as it is more close to the `72^2` one... it is almost `72cm`