Hypotenuse Chapter 5 (p. 254)
The side opposite the right angle of a right triangle
The hypotenuse is the longest side in a right triangle and is situated opposite to the right angle. It is also known as the c side in the Pythagorean theorem, which states that in any right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides (a and b).
The hypotenuse plays an important role in many geometric problems involving right triangles, such as finding the perimeter or area of a triangle or determining the length of a diagonal in a rectangle. It is also used in applications such as engineering, physics, and navigation.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem. For example, if the lengths of the other two sides (a and b) are known, you can use the formula c = sqrt(a^2 + b^2) to calculate the length of the hypotenuse.
It is important to remember that the hypotenuse is always longer than either of the other two sides in a right triangle. Additionally, in non-right triangles, there is no hypotenuse, as there is no right angle.
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