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1) s = 1 2*ah (a is the base of the triangle, h is the height corresponding to the bottom) 2) s = 1 2*ac*sinb 1 2*bc*sina 1 2*ab*sinc (the three angles are a b c, and the opposite sides are a, b, c, see trigonometric functions).
3)s△=√〔s*(s-a)*(s-b)*(s-c)〕s=1/2(a+b+c)】
4) s = abc (4r) [r is the radius of the circumscribed circle] 5) s = 1 2*(a+b+c)*r
r is the radius of the inscribed circle].
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Let the three sides be a, b, and c
then tana=a b
tanb=b/a
Check the angle of the table according to the numerical value.
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Trigonometric area formula for trigonometric functions:
1) s = 1 2*ah (a is the base of the triangle, h is the height of the bottom).
2)s =1 2*ac*sinb 1 2*bc*sina 1 2*ab*sinc (the three corners are a b c, and the opposite sides are a, b, c).
3)s△=√s*(s-a)*(s-b)*(s-c)〕【s=1/2(a+b+c)】。
4) s = abc (4r) [r is the radius of the circumscribed circle].
5)s =1 2*(a+b+c)*r [r is the radius of the inscribed circle].
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The trigonometric function of the triangle area formula is as follows:
If the three sides of the middle angle a, b, and c of abc are a, b, and c: then s abc=1 2absinc=1 2bcsina=1 2acsinb.
Theorem: In ABC, its area should be 1 2 corresponding to the height of the bottom edge, you may wish to let the height corresponding to the BC edge be AD, then the area of ABC is AD*BC*1 2. And AD is perpendicular to BC, so ADC is a right triangle, obviously, from this, it can be concluded that AD=ACSINC, which can be obtained by bringing this formula back to the calculation of triangles.
The concept of trigonometric functions:
Trigonometric function is one of the basic elementary functions, which is a function in which the angle (the most commonly used radian system in mathematics, the same below) is the independent variable, and the angle corresponds to the coordinate of the final edge of any angle and the intersection point of the unit circle or its ratio as the dependent variable.
It can also be defined equivalently in terms of the length of the various line segments related to the unit circle. Trigonometric functions play an important role in the study of the properties of geometric shapes such as triangles and circles, and are also a fundamental mathematical tool for the study of periodic phenomena. In mathematical analysis, trigonometric functions are also defined as infinite series or solutions to specific differential equations, allowing their values to be extended to arbitrary real values, even complex values.
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The formula for the area of a triangle in trigonometric functions is:
1) s = 1 2*ah (a is the base of the triangle, h is the height corresponding to the bottom) 2) s = 1 2*ac*sinb 1 2*bc*sina 1 2*ab*sinc (the three angles are a b c, and the opposite sides are a, b, c, see trigonometric functions).
3)s△=√s*(s-a)*(s-b)*(s-c)〕【s=1/2(a+b+c)】
4) s = abc (4r) [r is the radius of the circumscribed circle] (5) s = 1 2*(a+b+c)*r [r is the radius of the inscribed circle].
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Such questions can be cut and patched.
Combine the numbers to make the graph, then place the triangle in a rectangle (the three vertices of the triangle are on the sides of the rectangle), and subtract the other small triangles from the rectangle to get the required triangle area. >>>More