In a right-angled triangle, the side opposite the right angle is called the hypotenuse. The hypotenuse is always the longest side of the triangle and is directly across from the right angle. It is also the side that is opposite to the 90-degree angle in the triangle. The hypotenuse is a crucial element in the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides of the right triangle. This theorem is a fundamental concept in geometry and is widely used in various mathematical and scientific applications. Understanding the role of the hypotenuse in a right-angled triangle is essential for solving problems related to trigonometry, geometry, and physics. By knowing the lengths of the other two sides of the triangle, one can easily calculate the length of the hypotenuse using the Pythagorean theorem. To learn more about the hypotenuse and its significance in right-angled triangles, you can visit Math is Fun for detailed explanations and examples. This website offers comprehensive information on various mathematical concepts, including the Pythagorean theorem and its applications. Additionally, Khan Academy provides interactive lessons and practice exercises to help you master the concept of the hypotenuse and its relationship to right-angled triangles. With their step-by-step explanations and visual aids, you can enhance your understanding of geometry and trigonometry principles. In conclusion, the hypotenuse plays a crucial role in right-angled triangles, serving as the side opposite the right angle and the longest side of the triangle. By applying the Pythagorean theorem, you can easily calculate the length of the hypotenuse and solve various mathematical problems related to right triangles. Stay tuned to these resources to deepen your knowledge and skills in geometry and trigonometry.

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