SOLUTION: In the open box illustrated, Gina wants to draw the shortest possible line inside the box, from point A to point B. What is the length of the line Gina hopes to draw? All measureme

Question 1168085: In the open box illustrated, Gina wants to draw the shortest possible line inside the box, from point A to point B. What is the length of the line Gina hopes to draw? All measurements are in cm.
A) 2 √ 74
B) 8 √ 6
C) √ 310
D) 12 √ 2
E) 3 √ 30
https://imageshack.com/i/pmnSjbtmj
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
.

If it is about finding the diagonal of the rectangle,

you can do it on your own by applying the Pythagorean formula.

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

The trick is to open the box out flat. Then it's easy as can be: Just find the length of the red line using the Pythagorean theorem. The red line is the hypotenuse of an isosceles right triangle. Edwin

RELATED QUESTIONS
In the diagram below, point X is the intersection of the two diagonals TW and UV of the... (answered by MathLover1)
In the diagram below, point X is the intersection of the two diagonals TW and UV of the... (answered by greenestamps)
In the diagram below, point X is the intersection of the two diagonals TW and UV of the... (answered by Alan3354)
Point X is... (answered by MathLover1,math_tutor2020,ikleyn)
Square corners, 6 cm on a side, are removed from a 36cm by 42cm piece of cardboard. the... (answered by ankor@dixie-net.com)
Please advise the longest point to point measurement inside of a 48" square box and how... (answered by askmemath)
3. A piece of cardboard measuring 10 inches by 15 inches is to be made into a box with... (answered by ankor@dixie-net.com)
Hey, thankyou for the help..The question is_ a open carboard measures a base of 3m x 1m... (answered by jim_thompson5910)
There are 18 oranges in box a and 36 in box b what is the ratio of the orange in box a to (answered by ikleyn)