Hypotenuses of triangles are generally needed to be found in most o the mathematical and engineering calculations. Different kinds of known variables that we can have to find the hypotenuse of a triangle. Here, you can find satisfactory information about the hypotenuse triangle calculations and the hypotenuse calculator.
What is Hypotenuse?
The hypotenuse is the longest edge of the right triangle. The longest edge of the right triangle is across the right angle of this triangle. The other angles are smaller than the 90 degrees which makes the edges across these angles smaller than the hypotenuse.
The use of the hypotenuse calculator is very simple above. You just need to enter the two length values inside the brackets, then click on the ‘Calculate!’ button to calculate the hypotenuse. If you want to make another calculation, just click on the ‘Reset’ button and re-enter the values.
You can use the hypotenuse calculator or Pythagorean theorem calculator if you constantly dealing with the calculation of right-angle edges. In constructional problems in civil engineering and architecture, hypotenuse calculations are very common because of the column and beam design.
In physics, hypotenuse calculations are constantly used in the calculation of forces, beams, and lengths of structural elements. If you have a useful hypotenuse calculator beneath your hand, you can use it constantly to make the calculation processes of complex projects simple.
How to Find the Length of the Hypotenuse?
According to the known variables about a right triangle, you can find the length of the hypotenuse in different ways. But first, you need to know the general rules and theorems to find them.
What is Pythagorean Theorem?
Pythagorean theorem is the theorem to find the hypotenuses of the right triangle from the known lengths of edges. According to this theorem, the square of the hypotenuse of a right angle is equal to the summation of the square of the other edges.
In this formula, ‘a’ is the hypotenuse of a triangle and ‘b’ and the ‘c’ are the other edges of a right triangle. By taking the square root of the ‘a^2’, you can find the length of the hypotenuse.
Law of Sines
The Law of sines is also another theorem to find the unknown lengths of triangles. Pythagorean theorem originated from the law of sines.
As you see above, you can find lengths of edges by knowing one angle and length variables with the law of sines. If you apply this law to the right triangles, by assuming the hypotenuse is ‘c’, the law of sines becomes;
This is because the sin90 is equal to 1. So, You can directly find the hypotenuse if you know an angle and a length value of a right angle.
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FAQs About Hypotenuse Calculation
- Which kinds of applications hypotenuse calculations are used?
From engineering to geometry, in lots of mathematical calculations, hypotenuse calculations are heavily used. So, we prepared the hypotenuse calculator for our users that can easily and rapidly calculate the hypotenuse values of right triangles. Especially in constructional applications in civil engineering and architecture, you will deal with the calculation of lots of hypotenuse edges of different triangles. It will be better to have a calculator to calculate it rapidly.
- Could other edges other than hypotenuse be calculated?
If you know the length of the hypotenuse and a length of another edge of a right triangle, yes you can calculate it. You just need to extract the square of the short edge from the square of the hypotenuse. Then take the square root of this result.
- Is it possible to use the law of sines instead of the Pythagorean theorem?
Yes, it is possible. But the known variables are very important. If the known variables are not sufficient such as angle variables are not known, you will not able to use the law of sines to find the hypotenuse. You need to use the Pythagorean theorem.
- Is it possible to use the Pythagorean theorem for triangles that do not include a right angle?
No, it is not possible to use the Pythagorean theorem for normal triangles that do not have any right angle. As we stated in the article, the Pythagorean theorem is used for finding the hypotenuse. The hypotenuse is the edge that lies across the right angle. You can use the law of sines to find the length of the edges of normal triangles that do not have any right angles.