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 triangle, which is the side opposite the right angle. The other two sides of the right triangle are called the legs.
The length of the hypotenuse can be calculated using the Pythagorean theorem. According to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. In equation form, it can be written as:
c^2 = a^2 + b^2
Where c represents the length of the hypotenuse, and a and b represent the lengths of the legs.
To find the length of the hypotenuse, you can take the square root of both sides of the equation:
c = √(a^2 + b^2)
For example, if a right triangle has a leg length of 3 units and another leg length of 4 units, you can find the length of the hypotenuse as follows:
c = √(3^2 + 4^2)
c = √(9 + 16)
c = √25
c = 5
Therefore, in this example, the length of the hypotenuse is 5 units.
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