Question

Does anyone know how to do this?

Answer 1

`\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)`

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