Question

PLEASE HELP ASAP!!!!!

Answer 1

Given:

The side lengths of two cubes are 2.5 yd and 2 yd.

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 base.

Let x be the side length of the third cube.

Using Pythagoras theorem, we get

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

`(2.5)^2=(x)^2+(2)^2`

`6.25=x^2+4`

`6.25-4=x^2`

`2.25=x^2`

Taking square root on both sides, we get

`x=\pm√(2.25)`

`x=\pm 1.5`

Side cannot be negative. So,

`x=1.5`

Therefore, the side length of the third cube is
`x=1.5` yd.