The length of the bottom beam will be 9.6 feet. Then the correct option is C.
What is a right-angle triangle?
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
Adrian wants to add ceiling beams inside his A-frame house.
The diagram below shows how one set of beams will be built.
Then the length of the bottom beam will be given by the Pythagoras theorem.
Let the length of the beam be x. Then we have
(x/2)² = (3.4 + 3.4)² - 4.8²
(x/2)² = 6.8² - 4.8²
(x/2)² = 46.24 - 23.04
(x/2)² = 23.2
x/2= 4.82
x = 9.6
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