https://file.aiquickdraw.com/mathbot/file/1727363728213u796upwy.jpg

From the image, it looks like a right triangle with two legs labeled 3 and 4, and the hypotenuse labeled \( c \). To find the value of \( c \), we can apply the Pythagorean theorem:

\[
c = \sqrt{a^2 + b^2}
\]

Substituting \( a = 3 \) and \( b = 4 \):

\[
c = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5
\]

The value of \( c \) is \( 5 \). 

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the Pythagorean theorem, and when is it used?
2. Can the Pythagorean theorem be used for non-right triangles?
3. How do we know which side is the hypotenuse in a right triangle?
4. How can we calculate the area of a right triangle given two sides?
5. What happens if the triangle sides are given as decimals or fractions?

**Tip:** Always ensure that you're applying the Pythagorean theorem to right-angled triangles only.

Learn how to solve for the hypotenuse of a right triangle using the Pythagorean theorem. This example involves legs of lengths 3 and 4, and the solution demonstrates the formula step by step, resulting in a hypotenuse of 5. Suitable for students in Grades 6-8.

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