Your family wants to purchase a new laptop with a 17 inch widescreen (diagonal). The height of
the laptop is 10 inches. If the laptop case is 10.5
inches tall and 13 inches wide, will the laptop fit
in the case? Explain.

The laptop will not fit in the case.

Step-by-step explanation:

We need to find the width of the laptop to know if it fits in the case. We have:

For the laptop:

h: is the height of the laptop = 10 inch

d: is the widescreen of the laptop (diagonal) = 17 inch

w: is the width of the laptop =?

For the laptop case:

H: is the height of the laptop case = 10.5 inch

W: is the width of the laptop case = 13 inch

So, the width of the laptop can be found by using Pitagoras:

Hence, the laptop is 13.7 inches wide.                              

Therefore, since the laptop is wider than the case, the laptop will not fit in the case.

I hope it helps you!