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A wall 12 feet long makes a corner with a wall that is 14 feet long. The other ends of the walls are about 18.44 feet apart. Do the walls form a right angle?

Respuesta :

Answer:

Yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If we want to check if the walls form a right angle, we can try to see if the lengths work with the Pythagorean Theorem.

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

Where c is the hypotenuse (longest side) and a and b are the legs (shorter sides)

We can plug in the given lengths into the equation:

[tex]12^2+14^2=c^2[/tex]

[tex]144+196=c^2[/tex]

[tex]c^2=340[/tex]

Take the square root of both sides

[tex]c\approx18.44[/tex]

Therefore the walls form a right angle