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The sum of two acute angles of a right triangle is 90 degrees.
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In a right-angled triangle, where the length of three sides is known (where the opposite side of the right angle is called the "hypotenuse", which is the longest side), then the sine value of any of its right-angled edges is the opposite side of the angle divided by the hypotenuse, i.e.,
sin a = the opposite side of a hypotenuse.
Then there is the formula: a = arcsin( the opposite side of a hypotenuse).
1. Usually by looking up the "trigonometric function table", you can find the angle value of a.
2. If there is a "scientific calculator", there should be a "arcsine function" function key on it (the key is generally marked sin-1, note that -1 is the superscript), pay attention to the calculation mode of the calculator, if it is radian, the radian value of a is calculated; If it is an angle, the calculated value is the angle value of a, and the steps are (take Casio FX-82ES Plus as an example.)
Enter the opposite side of a, e.g. 3
Press the key. Enter hypotenuse, e.g. 5
Key = key shift, then key sin
The result displayed is the angle value of a.
3. You can also use the calculator attached to the operating system in the computer to calculate, first calculate the value (the opposite side of a) and then click the "inv" key, then the sin key will be switched to the sin-1 key, and then click the sin-1 key, you can.
Note the calculation mode, whether it is "degrees" or "radians".
4. You can also use the excel function function, for example, A1 cell input A opposite edge value, B1 cell input hypotenuse value, then enter the formula in C1 cell:
asin(a1 b1) calculates the radian value.
Enter the formula in cell d1:
180*asin(a1 b1) pi() calculates the angle value.
Can it solve your problem?
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1.Mutually exclusive. 2.Mutual redundancy.
Correct answer: Mutual redundancy.
The sum of the inner angles of a triangle is theorem: the sum of the three internal angles of a triangular cluster grip is equal to 180°.
Corollary: 1) The seepage of a right-angled triangle is concealed by two acute angles to each other.
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Right. According to the sum of the internal angles of any triangle is 180 degrees, and the right angle is 90 degrees, so there is already an angle of 90 degrees in the right triangle, and the sum of the degrees of the other two angles is 90 degrees, so each angle is less than 90 degrees, that is, there must be two acute angles in a right triangle.
The relationship between the corners of an isosceles right triangle1) The triangle of three groups allows the sum of the internal angles to be equal to 180°;
2) One outer angle of a triangle is equal to the sum of two inner angles that are not adjacent to it;
3) one outer angle of the triangle is greater than any of the inner angles of its non-simple neighbors;
4) The sum of the two sides of the triangle is greater than the third side, and the difference between the two sides is less than the third side;
5) Within the same triangle, the big side is against the big angle, and the big angle is against the big side.
Acute angles
Acute angle refers to an angle greater than 0° and less than 90° (right angle), and acute angle is a bad angle. The sum of two acute angles is not necessarily greater than the right angle, but it must be less than the flat angle. An acute angle must be the first quadrant angle, and the first quadrant angle is not necessarily an acute angle.
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Right. According to the sum of the internal angles of any triangle is 180 degrees, and the right angle is 90 degrees, so there is already an angle of 90 degrees in the right triangle, and the sum of the degrees of the other two angles is 90 degrees, so each angle is less than 90 degrees, that is to say, there must be two acute angles in a right triangle.
The relationship between the corners of an isosceles right triangle
1) The sum of the three internal angles of the triangle is equal to 180°;
2) One outer angle of a triangle is equal to the sum of two inner angles that are not adjacent to it;
3) The outer angle of the triangle is greater than any of the inner angles that are not adjacent to it;
4) The sum of the two sides of the triangle is greater than the third side, and the difference between the two sides is less than the third side;
5) Within the same triangle, the big side is against the big angle, and the big angle is against the big side.
Acute anglesAcute angle refers to an angle greater than 0° and less than 90° (right angle), and acute angle is a bad angle. The sum of two acute angles is not necessarily greater than the right angle, but it must be less than the flat angle. An acute angle must be the first quadrant angle, and the first quadrant angle is not necessarily an acute angle.
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The sum of the two acute angles of a right triangle is 90°.
A triangle with a corner at right angles is called a right triangle. In a right-angled triangle, two edges adjacent to each other at right angles are called right-angled edges. The edge opposite the right angle is called the hypotenuse.
The sides opposite the right angles of the triangle are also called "strings". If the two right-angled sides are not the same length, the short side is called "hook", and the side of the ear of the Song clan Zheng Chang is called "stock".
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90-43 = 47 (degrees), the two acute angles of a right-angled three-branch laughing horn are 43° and 47°;
So the answer is: 47°
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There are 2 acute angles in a right triangle. An acute angle is an angle greater than 0° and less than 90° (right angle), and an acute angle is a bad angle. The sum of two acute angles is not necessarily greater than the right angle, but it must be less than the flat angle.
An acute angle must be the first quadrant angle, and the first quadrant angle is not necessarily an acute angle.
A right triangle is a geometric figure, which is a triangle with a right angle angle, and there are two types: ordinary right triangle and isosceles right triangle. It conforms to the Pythagorean theorem and has some special properties and judgment methods.
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Because the sum of the degrees of two acute angles +90° = 180°
So the sum of the degrees of two acute angles = 180°-90°=90°
So the answer is: 90°
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