the area of trianlge ABC is 20 square units. if abgle A=130 and b=6 find the value of c?

To find the value of side c in triangle ABC, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, the height is given by side b and angle A. We can use the sine function to find the height:

sin(A) = height / c

Multiplying both sides by c, we get:

c * sin(A) = height = b

Now, substitute the given values into the equation:

c * sin(130°) = 6

To solve for c, divide both sides of the equation by sin(130°):

c = 6 / sin(130°)

Using a calculator, you can evaluate the sine of 130° and then calculate the value of c.

Area = 0.5bcsinA = 20 U^2,

0.5*6*C*sin(130) = 20,
3c*sin(130) = 20,
2.3c = 20,
c = 8.7 Units.