https://file.aiquickdraw.com/mathbot/file/1727372262036qop9ap73.jpg

In the image, we see a right triangle with sides labeled, where one leg is 5, the other leg is 2.5, and the hypotenuse is labeled as "x." Since this is a right triangle, we can apply the **Pythagorean Theorem** to find the length of the hypotenuse \( x \).

The **Pythagorean Theorem** is given by:

\[
a^2 + b^2 = c^2
\]

Where:
- \( a \) and \( b \) are the legs of the triangle
- \( c \) is the hypotenuse (here represented by \( x \))

### Calculation:

\[
5^2 + 2.5^2 = x^2
\]
\[
25 + 6.25 = x^2
\]
\[
x^2 = 31.25
\]
\[
x = \sqrt{31.25}
\]

I'll calculate the value of \( x \).The length of the hypotenuse \( x \) is approximately \( 5.59 \) units.

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

Here are 5 related questions you might find useful:
1. How do you apply the Pythagorean theorem for different types of right triangles?
2. What is the relationship between the angles and sides of a right triangle?
3. Can we calculate the area of the triangle given its sides?
4. How would you solve for the missing leg if the hypotenuse is known?
5. How is the Pythagorean theorem applied in real-world problems?

**Tip:** Always check if a triangle is a right triangle before applying the Pythagorean theorem!

Find the hypotenuse of a right triangle with legs of 5 and 2.5.

Learn how to calculate the hypotenuse of a right triangle with legs of 5 and 2.5 using the Pythagorean Theorem. This geometry problem is suitable for students in Grades 7-9, demonstrating how to apply the a^2 + b^2 = c^2 formula.

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