Question

Type the correct answer in the box. Use numerals instead of words.

Answer 1

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

$v=\sqrt{7^2+4^2}$

$=\sqrt{49+16}$

$v=\sqrt{65}$

For finding the value of d again using Pythagoras theorem

$d=\sqrt{v^2+h^2}$

$=\sqrt{(\sqrt{65})^2+5^2 }$

$=\sqrt{65+25}$

$=\sqrt{90}$

=9.4868

Rounding to nearest tenth

=9.5

Hence, the length of diagonal is 9.5 ft

Learn more about Pythagoras Theorem here:

brainly.com/question/654982

#SPJ1