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.