Question

Does anyone know how to do this?

Answer 1

Answer:

$\boxed{\tt x=\sqrt{85} }$

Step-by-step 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:

• $\tt x=\sqrt{85}$

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