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14 votes
14 votes
Does anyone know how to do this?

Does anyone know how to do this?-example-1
User Renato Machado
by
2.5k points

1 Answer

17 votes
17 votes

Answer:


\boxed{\tt x=√(85) }

Explanation:

When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"

To find the distance we can use the Pythagorean theorem.


\boxed{{\tt a^2+b^2=c^2}}


\tt a=9


\tt b=2


\tt c=x

Let's Plug in the side lengths:


  • \tt 9^2+2^2=x^2

Evaluate 9²= 81 and 2²= 4:


  • \tt 81+4=x^2

Now, add 81+4= 85


  • \tt 85=x^2

Take the square root of both sides:


  • \tt x=√(85)

_____________________________

User Legeo
by
2.6k points