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An architect is planning a new town square. The square has sides that are 20 ft long. A walkway will also cut diagonally through the square. How long will the walkway be? Round to the nearest tenth of a foot.

can someone show me how to do this please ​

Respuesta :

Answer:

28.3 ft

Step-by-step explanation:

Picture out the scenario, the town square is just a square, and a walkway cut diagonally through the square, we can solve it using Pythagora's theorem:

[tex]a^2+b^2=c^2[/tex]

Where a and b are the two shorter legs, and c is the hypotenuse (the longest leg in a right triangle).

Replace the values in:

[tex]20^2+20^2=c^2\\400+400=c^2\\800=c^2\\c=28.28427124...[/tex]

Round to the nearest tenth of a foot to get:

[tex]c=28.3[/tex]