Calculate the lengths of all possible diagonals on the faces of the rectangular prism below:
Calculate the lengths of all possible diagonals on the faces of the rectangular prism below:
We will use the Pythagorean theorem to find diagonal AD1:
Let's input the known data:
Let's find the square root:
From the data we can see that:
Now let's look at triangle DD1C1 and calculate DC1 using the Pythagorean theorem:
Let's input the existing data:
Let's find the square root:
Now let's focus on triangle A1D1C1 and find diagonal A1C1:
Let's input the known data:
Let's find the square root:
Now we have all 3 lengths of all possible diagonal corners in the box: