Question

A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase?

Answer 1

I am sure that the answer is 30

Answer 2

30

Explanation:

We can use the Pythagorean Theoreom for this.

Since we are trying to find the hypotenuse, we know that the hypotenuse is
`c^2`

So, here we are:

`a^2+b^2=c^2\\a^2=24\\b^2=18\\18^2+24^2=c^2\\324+576=c^2\\900=c^2\\`

Then, we find the square root of 900 which is:
`√(900) = 30\\\\`

There you go! We have 30 as our answer.