The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle.
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1 If you are given the length of the shortest leg (opposite the 30-degree angle,) simply multiply the leg length by 2 to find the length of the hypotenuse. 2  For instance, if the length of the shortest leg is 4, you know that the hypotenuse length must be 8.
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1 For instance, if the length of the shortest leg is 4, you know that the hypotenuse length must be 8. 2  If you are given the length of the longer leg (opposite the 60-degree angle,) multiply that length by 2/Sqrt(3) to find the length of the hypotenuse.
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Conclusion. The hypotenuse is the longest side of a right triangle. It is also the side opposite the right angle. It is useful in different situations involving the need to find distance or the measure of an angle. There are many practical applications where the need to use a right triangle and the hypotenuse is important.
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SOH = the sine of an angle is equal to the side opposite the angle divided by the hypotenuse. CAH = the cosine of an angle is equal to the side adjacent to the angle divided by the hypotenuse. TOA-the tangent of an angle is equal to the side opposite the angle divided by the side adjacent to the angle.
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How to Find the Length of the Hypotenuse. Three Methods: Using the Pythagorean Theorem Finding the Hypotenuse of Special Right Triangles Finding the Hypotenuse Using the Law of Sines. All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite that angle.
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A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. The Pythagorean Theorem tells us that the relationship in every right triangle is: Example:
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1 If you are given the length of the longer leg (opposite the 60-degree angle,) multiply that length by 2/Sqrt(3) to find the length of the hypotenuse. 2  For instance, if the length of the longer leg is 4, you know that the hypotenuse length must be 4.62.
http://www.wikihow.com/Find-the-Length-of-the-Hypotenuse
In geometry, a hypotenuse is the longest side of a right triangle. It's also the side opposite the right angle. The word hypotenuse means 'length under' or 'stretch under.' Its earliest use was thought to be by Plato in approximately 400 BC. The length of the hypotenuse can be found by using the Pythagorean Theorem.
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Example: We multiply the length of the leg which is 7 inches by √2 to get the length of the hypotenuse. In a 30°-60° right triangle we can find the length of the leg that is opposite the 30° angle by using this formula: Example: To find a, we use the formula above.
http://www.mathplanet.com/education/pre-algebra/right-triangles-and-algebra/the-pythagorean-theorem
what is opposite angle is hypotenuse
Opposite angles in hypotenuse are the longest side of a right triangle. The longest side of a right triangle. It is also the side opposite the right angle.