https://file.aiquickdraw.com/mathbot/file/1725555481580qgh95393.jpg

The image shows a right triangle where:

- One leg is 12 cm (side \(AC\)),
- The other leg is 5 cm (side \(BC\)),
- We need to find the length of the hypotenuse \(AB\) (denoted as \(p\)).

We can use the Pythagorean theorem to solve this. The Pythagorean theorem is given by:

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

Let me calculate the length of \(p\).The length of the hypotenuse \(p\) (side \(AB\)) is 13 cm.

Would you like further details on this calculation or any related concept?

Here are five follow-up questions to expand on this topic:
1. What is the Pythagorean theorem, and when is it used?
2. Can the Pythagorean theorem be used in non-right triangles?
3. How do we calculate the area of a right triangle?
4. What are some common applications of right triangles in real life?
5. How can trigonometry be applied to find angles in this triangle?

**Tip:** In right triangles, the hypotenuse is always the longest side.

What is the length of the hypotenuse p in a right triangle with legs of 12 cm and 5 cm?

Solve a right triangle problem using the Pythagorean theorem to find the length of the hypotenuse. This problem involves a right triangle with legs measuring 12 cm and 5 cm, suitable for students in Grades 7-9.

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