Question

A suitcase measures 24 inches long and 18 inches high, what is the diagonal length of the suitcase?

Answer 1

Answer:

the diagonal is 30 inches

Step-by-step explanation:

you assume a suitcase is a rectangular shape, and the diagonal length makes 2 right triangles; therefore you can use Pythagorean theorem

$a^{2}$ + $b^{2}$ = $c^{2}$ ; where a = 24, b = 18 and c is the diagonal

$24^{2}$ + $18^{2}$ = $c^{2}$

$c^{2}$ = 576 + 324

$c^{2}$ = 900

c = 30 inches

Answer 2

Answer:

The diagonal is 30 inches

Step-by-step explanation:

Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this

a² + b² = c²

so we plug our two values to find the diagonal (hypotenuse)

24² + 18² = c²

576 + 324 = c²

900 = c²

c = √900

c = 30

The diagonal is 30 inches