Question

I NEED HELPP PLEASEEE!!!!!

Answer 1

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

`Hypotenuse^2=Base^2+Perpendicular^2`

`x^2=(6)^2+(12)^2`

`x^2=36+144`

`x^2=180`

Taking square root on both sides, we get

`x=\pm√(180)`

`x=\pm 6√(5)`

Side cannot be negative. So,

`x=6√(5)`

Therefore, the side length of the third cube is
`x=6√(5)` ft.