m<C=70,c=8,m<30 solve the triangle
http://library.thinkquest.org/C0121962/sincoslaws.htm
To solve the triangle, we can use the law of sines or the law of cosines. Given the information m<C = 70°, c = 8 units, and m<30 = ?, we can use the law of sines to find the missing angle.
The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
Let's label the missing angle as angle A. We have:
m<C = 70°, C = 8, and m<30 = ?
Using the law of sines, we have the following ratio:
sin(A)/8 = sin(70°)/c
Rearranging the equation, we get:
sin(A) = 8 * sin(70°) / c
Now we can substitute the known values:
sin(A) = 8 * sin(70°) / 8
sin(A) = sin(70°)
Since the sine function is positive in both the first and second quadrants, angle A could be either 70° or 180° - 70° = 110°.
Therefore, the possible solutions for the triangle are:
1. A = 70°, B = 30°, C = 80°
2. A = 110°, B = 30°, C = 40°
Both sets of angles satisfy the given conditions, but the values of the sides are not specified. To fully solve the triangle, we would need additional information, such as the lengths of the sides.