Answer:
The answer is 8.3
Step-by-step explanation:
(I'm not that good at explaining things so bear with me please. I checked on Khan Academy so it's right)
I split the box on the right diagonally and got the equation
[tex]4^{2}[/tex] + [tex]2^{2}[/tex] = [tex]x^{2}[/tex]
=16 + 4 =[tex]\sqrt{20}[/tex]
≈4.5
The new triangle will help solve what d is
[tex]4.5^{2}[/tex] + [tex]7^{2}[/tex] = [tex]d^{2}[/tex]
=20.25 +49 = [tex]\sqrt{69.25}[/tex]
≈8.3
The diagonal of the rectangular prism shown is 8.3.
A polygonal is a closed, two-dimensional structure that is flat or plane and seems to have excellent dimensional.
A diagonal is a line segment that joins 2 opposing polygonal vertices.
In another word, a diagonal is an inclined line that connects two orthogonal lines to become a complete triangle.
Diagonal is the use for the idea of the length of sides, for example, if you want to measure the height of a tower knowing diagonal will surely help to do this.
Given a rectangular prism
Let x is the diagonal of the sides 7 and 4 then
By Pythagoras theorem
4² + 7² = x²
x² = 65
x=8.06
Now in the right-angle triangle of sides d,x and 2
d² = 65 + 4
D = √(69)
d = 8.30 hence, the correct answer is 8.30.
For more about the diagonal
https://brainly.com/question/14735698
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