Question

Adrian wants to add ceiling beams inside his A-frame house. The diagram below shows how one set of beams will be built.

Answer 1

The length of the bottom beam =9.16 feet

What is Pythagoras theorem?

the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given : Total length of arm = 3.4+3.4=6.8 ft

Applying Pythagoras in  triangle on right side we have,

H²=P²+ B²

6.8²= P² + 4.8²

46.24= P² +23.04

P²= 23.2

P= 4.81 feet

Similarly, on the triangle on left side.

Again we have the base as 4.81 feet.

Now,  the length of the bottom beam= 4.81*2

                                                             =9.16 feet

Learn more about Pythagoras theorem here:

brainly.com/question/343682

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