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The longest side of a right-angled triangle is called?
A. The base
B. The hypotenuse
C. The perpendicular
D. The altitude
Correct Answer Is Option = The hypotenuse
Notes / Explanation
The longest side of a right-angled triangle is called the hypotenuse, and it is an important term in the branch of mathematics that deals with shapes, known as geometry. A right-angled triangle is a triangle in which one of the three angles is a right angle, that is, an angle of ninety degrees, like the corner of a square. In such a triangle, the side that lies opposite the right angle is the longest of the three sides, and this side is called the hypotenuse, while the other two sides, which form the right angle between them, are the shorter sides. The hypotenuse is always the longest side of a right-angled triangle, and it is always the side opposite the right angle, which makes it easy to identify. The right-angled triangle and its hypotenuse are of great importance in mathematics, because of a very famous and useful relationship, known from ancient times, that connects the lengths of the three sides of a right-angled triangle. According to this relationship, in any right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This relationship is one of the most famous and useful in the whole of mathematics, and it allows the length of any one side of a right-angled triangle to be worked out if the lengths of the other two are known, which is of great use in many practical situations, such as in construction, surveying, navigation and design, wherever right angles and distances are involved. The right-angled triangle is one of the most important shapes in geometry, and the hypotenuse and the relationship between the sides are among the most important ideas connected with it. Understanding the parts of a right-angled triangle, including the hypotenuse, and the relationship between its sides is a basic and useful part of the study of geometry. For PPSC and other competitive examinations, the key points to remember are that the longest side of a right-angled triangle is called the hypotenuse, that a right-angled triangle is one that contains a right angle of ninety degrees, that the hypotenuse is always the side opposite the right angle and the longest of the three sides, and that there is a famous and useful relationship by which the square of the hypotenuse equals the sum of the squares of the other two sides.