SOLUTION: The length of the diagonal across the front of the rectangle box is 25 inches and the length of the diagonal across the front of the rectangle box is 18 inches.The length of the t

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Question 1010556: The length of the diagonal across the front of the rectangle box is 25 inches and the length of the diagonal across the front of the rectangle box is 18 inches.The length of the three-dimensional diagnol of the box is 32 inches . What is the length of the diagnol across the top of the box?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not both "fronts". One of them should be a different side. Think, "two sides, adjascent". Imagine the box is x from left to right, y, from up to down, and z deep (from front to back).

system%28x%5E2%2By%5E2=25%2Cy%5E2%2Bz%5E2=18%2Cx%5E2%2By%5E2%2Bz%5E2=32%29

Every variable occurs as a square only. You can treat this simply as a linear system of three equations in three unknown variables.

I did not go further with this, but note carefully the question. It essentially asks for x%5E2%2Bz%5E2. Look at the last equation of the system. You can arrange this as x%5E2%2Bz%5E2=18-y%5E2.