The area of the provided triangle is A = 24.80 square cm or A = 24.8 cm² option (B) 24.8 cm² is correct.
What is the triangle?
In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture with dimensions and angles.
We can apply the sin formula to find the area of the given triangle
As we know,
A = [absin(C)]/2
Here, a and b are sides lengths and angle C made opposite to the side c
a = 4.9 cm
b = 11 cm
Angle C = 113 degrees
Plug all the values in the formula:
A = [(4.9)(11)sin(113)]/2
A = [53.9sin(113)]/2
A = [53.9(0.920)]/2
A = [49.615]/2
A = 24.80 square cm
or
A = 24.8 cm²
Thus, the area of the provided triangle is A = 24.80 square cm or A = 24.8 cm² option (B) 24.8 cm² is correct.
Learn more about the triangle here:
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