The length of the diagonal 'c' is 24.18 units and this can be determined by using the Pythagorean theorem and the given data.
Given :
Orlando says that he can find the length of the diagonal, c, of the rectangular prism by using the Pythagorean theorem twice.
The following steps can be used in order to determine the length of the diagonal 'c':
Step 1 - The Pythagorean theorem is used in order to determine the length of the diagonal 'c'.
Step 2 - First, determine the value of 'a'.
[tex]\rm 20^2+8^2= a^2[/tex]
[tex]a^2= 464[/tex]
a = [tex]\sqrt{464}[/tex]
Step 3 - Now, determine the value of 'c' using the value of 'a'.
[tex]\rm (\sqrt{464} )^2+11^2=c^2[/tex]
Step 4 - Simplify the above expression.
[tex]c^2=464+121[/tex]
[tex]\rm c = \sqrt{585}[/tex]
c = 24.18
For more information, refer to the link given below:
https://brainly.com/question/21149612
