If the sum of the squares of two sides of a triangle equals the square of the third side, then the
triangle is a right triangle.

Yes, the statement is correct. This is a well-known result from the **Pythagorean Theorem**, which applies specifically to right triangles.

The **Pythagorean Theorem** states that:

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

Where:
- \(a\) and \(b\) are the lengths of the two legs (shorter sides) of a right triangle, and
- \(c\) is the length of the hypotenuse (the side opposite the right angle).

If this equation holds true for the sides of a triangle, then the triangle is a right triangle. This is a fundamental property of Euclidean geometry.

Would you like further details or examples to clarify this? Here are five related questions for practice:

1. How do you use the Pythagorean Theorem to find the length of the hypotenuse?
2. What are some common examples of Pythagorean triples?
3. Can the Pythagorean Theorem be applied in non-Euclidean geometries?
4. What is the converse of the Pythagorean Theorem?
5. How does the Pythagorean Theorem extend to three-dimensional geometry?

**Tip:** Always ensure the triangle is a right triangle before applying the Pythagorean Theorem to avoid incorrect conclusions.

If the sum of the squares of two sides of a triangle equals the square of the third side, then the triangle is a right triangle.

Explore the relationship between the sides of a triangle using the Pythagorean Theorem. Learn how the sum of the squares of two sides equals the square of the hypotenuse, confirming a right triangle. Suitable for Grades 8-10, this explanation covers key geometric concepts and includes related practice questions.

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