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Given:
The side lengths of two cubes are 12 ft and 6 ft.
To find:
The side length of third cube.
Solution:
From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the hypotenuse.
Let x be the side length of the third cube.
Using Pythagoras theorem, we get
Taking square root on both sides, we get
Side cannot be negative. So,
Therefore, the side length of the third cube is ft.