The rectangular triangle is a triangle that has one of the corners of the line and equals 90 degrees, and the sum of the two remaining corners is also equal to 90 degrees.
The rectangular triangle has three sides: two of which are perpendicular to each other - they are called catechos, and the third party, which is located opposite the direct angle, combines two vertices of its cathets - it is called hypotenurus.
To find out the length of each side of the rectangular triangle, you can use in several ways, depending on which the values \u200b\u200bof the triangle are known.
Methods for calculating the sides of the rectangular triangle
- You can use trigonometric function. This method is suitable in the fact that the value of one of the sides of the rectangular triangle and the value of one of the sharp corners is known. So, in order to find out the side of one of the cathets in this case, it is necessary to multiply the cosine of the acute angle, which is formed between the hypotenurus and cathethom, which is necessary to learn: a \u003d c · cos (b). Or, the magnitude of the hypotenuse must be multiplied by the sine of an acute angle, which is formed between the hypotenuse and the second cathe of the rectangular triangle: a \u003d c · sin.(A). If the magnitude of the hypotenuse is unknown in the task, then in order to find out, the value of one category is necessary to divide the sinus of an acute angle, which is formed between the hypotenuse and the second cathe of the rectangular triangle: C \u003d A / SIN (A); Alternatively, the value of one category is divided into cosine of an acute angle, which is formed between the hypotenurus and the same cathetoma: C \u003d A / COS (B).
. - You can use the Pythagora theorem, which is suitable only if only one of the parties is unknown, and the values \u200b\u200bof the two other sides of the triangle are provided in the condition of the problem. So, to learn the value of one of the cathets, it is necessary to calculate the root square difference of the hypotenuse magnitudes, elevated to the square, and the second category, also erected into the square: .
- If the magnitude of the hypotenuse is unknown, then to find out, it is necessary to calculate the root of the square sum of the values \u200b\u200bof the two cathets of the rectangular triangle, erected each separately into the square:
Thus, it is possible to calculate any of the sides of the rectangular triangle only if there are at least two values \u200b\u200brelating to this triangle:
- it can be the values \u200b\u200bof both sides of the triangle;
- it may be the value of one of the sides and one of the sharp corners of the rectangular triangle.
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