The problem asks to calculate the distance between points A and B using Pythagoras' theorem.

Given:

• Coordinates of point A: $(2, 3)$
• Coordinates of point B: $(7, 9)$

Pythagoras' theorem:

The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Substituting the coordinates of A and B: $d = \sqrt{(7 - 2)^2 + (9 - 3)^2} = \sqrt{5^2 + 6^2} = \sqrt{25 + 36} = \sqrt{61}$

Now, let's calculate the exact value of $\sqrt{61}$.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, I can continue with the calculation manually:

$\sqrt{61} \approx 7.81$

So, the distance between point A and point B is approximately 7.8 cm, rounded to 1 decimal place.

Would you like more details on this or have any questions?

Here are 5 related questions to expand on this:

1. How do you apply Pythagoras' theorem to real-world problems?
2. Can this method be used to calculate distances in three-dimensional space?
3. What other methods can be used to find the distance between two points?
4. How does the distance formula relate to the equation of a circle?
5. How would you calculate the midpoint between two points?

Tip: Always remember to square the differences before summing them in the distance formula!