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
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
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] ; where a = 24, b = 18 and c is the diagonal
[tex]24^{2}[/tex] + [tex]18^{2}[/tex] = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 576 + 324
[tex]c^{2}[/tex] = 900
c = 30 inches
