algebra
if sarha wants to secure a bookcase by attaching a metal strip from the upper right corner to the lower left corner how long should the metal strip be if the bookshelf is 6 foot high and 8 foot wide?
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The metal strip should be 10 feet long. To explain this, we can use the Pythagorean theorem, which states that the squares of the opposite sides of a right-angled triangle add to equal the square of the hypotenuse. In this case, the hypotenuse is the metal strip connecting the two corners. So, we have 6^2 + 8^2 = 10^2, or 36 + 64 = 100. Therefore, the metal strip should be 10 feet long.
