Rosa is building a toolshed. She wants to check to see if it is square. She measured down one side 4 feet and down the adjacent side 3 feet. How many feet are from the end of the 4-foot section to the end of the 3-foot section, if the building is square?

Respuesta :

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

There will be formed a right angle triangle.

One side of the triangle will be 4 and another side of the triangle will be 3.

From the end of the 4-foot section to the end of the 3-foot section will be x that could be found using Pythagorean theorem.

So,

[tex]x^2 = 3^2 + 4^2[/tex]

[tex]x^2= 9+16[/tex]

[tex]x^2=25[/tex]

Taking square root on both sides

[tex]x=5[/tex]

So, from the end of the 4-foot section to the end of the 3-foot section, the distance is 5 feet.    :    Answer 5

Hope it will help :)


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