Find the area of the triangle using the following information. Round to the nearest hundredth, if necessary. A=175°𝐴=175°, b=18𝑏=18, c=21

To find the area of a triangle when two sides and the included angle are given, we can use the formula:

Area = 1/2 * b * c * sin(A)

Given: A = 175° b = 18 c = 21

First, we need to convert the angle from degrees to radians because the sin function in calculators typically uses radians.

1 radian = 180/π degrees So, A = 175 * π/180 = 3.05 radians

Now, we can substitute these values into the formula:

Area = 1/2 * 18 * 21 * sin(3.05) Area = 9 * 21 * -0.09 (since sin(175°) = -0.09) Area = -17.01

However, the area of a triangle cannot be negative. The negative sign indicates that the angle of 175° does not form a triangle because it is more than 180°. Therefore, with the given values, we cannot form a triangle and find its area.