The length of the slopping beam is 32.3ft.
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"
According to the give question
We have a roof of wooden beams in a triangular shape.
The half part of the wooden roof is in the shape of right angled triangle in which
Perpendicular = 9ft
Base = [tex]\frac{62}{2} =31ft[/tex]
⇒ Length of the opposite sides of the right angled triangle are 9ft and 31 feet.
Hypotenuse of the right angle triangle = length of the sloping beam
Therefore,
The length of the slopping beam = [tex]\sqrt{(9)^{2} +(31)^{2} }[/tex]
(By Pythagoras theorem)
⇒ Length of the slopping beam = [tex]\sqrt{81 +961} =\sqrt{1024} =32.3ft[/tex]
Hence, the length of the slopping beam is 32.3ft.
Find out more information about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
