The length of diagonal is 9.5 ft
What is Pythagoras theorem?
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
We will find the length of diagonal as shown below:
l= 7 ft
h= 5 ft
w= 4 ft
Let diagonal be d.
Let v be the diagonal of the base.
Using Pythagoras theorem
[tex]v=\sqrt{7^2+4^2}[/tex]
[tex]=\sqrt{49+16}[/tex]
[tex]v=\sqrt{65}[/tex]
For finding the value of d again using Pythagoras theorem
[tex]d=\sqrt{v^2+h^2}[/tex]
[tex]=\sqrt{(\sqrt{65})^2+5^2 }[/tex]
[tex]=\sqrt{65+25}[/tex]
[tex]=\sqrt{90}[/tex]
=9.4868
Rounding to nearest tenth
=9.5
Hence, the length of diagonal is 9.5 ft
Learn more about Pythagoras Theorem here:
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