https://file.aiquickdraw.com/mathbot/file/17232418801433ohr8dbu.jpg

The image you've uploaded shows a right triangle with points \(A\), \(B\), and \(C\). You want to solve for the length of \(AB\), which I assume is the hypotenuse of the right triangle.

Given:
- \(AC = 4\) units
- \(BC = 3\) units

Using the Pythagorean theorem:

\[
AB^2 = AC^2 + BC^2
\]

Substitute the given values:

\[
AB^2 = 4^2 + 3^2
\]

\[
AB^2 = 16 + 9
\]

\[
AB^2 = 25
\]

Now, take the square root of both sides:

\[
AB = \sqrt{25} = 5 \text{ units}
\]

So, the length of \(AB\) is 5 units.

Would you like more details, or do you have any additional questions? Here are some follow-up questions you might find helpful:

1. How do you calculate the distance between two points in the coordinate plane using the Pythagorean theorem?
2. What are the properties of a right triangle?
3. How can you use trigonometric ratios to find angles in a right triangle?
4. Can you apply the Pythagorean theorem to three-dimensional figures?
5. What is the significance of the hypotenuse in a right triangle?
6. How does the Pythagorean theorem relate to the distance formula in the coordinate plane?
7. What are the steps to prove the Pythagorean theorem?
8. How can the Pythagorean theorem be used to solve problems involving circles?

**Tip:** Always double-check that the side you're solving for is indeed the hypotenuse when using the Pythagorean theorem, especially when working with right triangles.

Learn how to solve for the length of AB in a right triangle using the Pythagorean theorem with a detailed step-by-step solution. This problem involves calculating the hypotenuse of a right triangle given the lengths of the other two sides. Suitable for students in Grades 7-9.

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