Question

A suitcase is 24 inches long and 10 inches high. what is the diagonal length of the suitcase?

Answer 1

You can use Pythagorean Theorem (a² + b² = c²) to solve this problem

Step-by-step explanation:

24² = 24.24 = 576 and 10² = 10.10 = 100

576+ 100= 676

√676 = 26

Answer 2

26

Step-by-step explanation:

Ok, so every rectangle has a triangle in it. If you draw a diagonal line across it, you'll see it. As you can tell, this is a question asking to do that, and since you have to visualize a lot, it's best to sketch out problems like this.

1. The length and height stay the same for the triangle. The diagonal length doesn't correlate to rectangle height or length.

2. So, we just have the missing side of a triangle since we already know length and height. The diagonal is the hypotenuse.

3. Use the Pythagorean Theorem:
`a^2+b^2=c^2`. A and B are any leg you choose that's NOT the hypotenuse. We already know both those sides, so let's solve the equation:

`24^2+10^2=c^2\\576+100=c^2\\676=c^2\\√(676)=c\\\\26=c`26 is the answer. Remember, the opposite of squaring is taking the square root.

Hope this helped!