Hypotenuse
The hypotenuse is a term commonly used in geometry and trigonometry
The hypotenuse is a term commonly used in geometry and trigonometry. It refers to the longest side of a right-angled triangle. It is opposite the right angle and is calculated using the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It can be represented by the equation:
c^2 = a^2 + b^2
Here, “c” represents the length of the hypotenuse, while “a” and “b” represent the lengths of the other two sides of the right-angled triangle.
To find the hypotenuse, you can rearrange the equation and solve for “c”:
c = √(a^2 + b^2)
For example, let’s say you have a right-angled triangle with side lengths of 3 units and 4 units. To find the hypotenuse:
c = √(3^2 + 4^2)
c = √(9 + 16)
c = √25
c = 5 units
So, the length of the hypotenuse in this example is 5 units.
It is important to note that the hypotenuse is always the longest side of a right-angled triangle. It is opposite the right angle and determines the overall size and shape of the triangle.
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