if a=57 m, b=65 m, and ∠C=86 degrees, then what is the aea of △ ABC to the nearest meter if m^2
the answer is not 325
To calculate the area of a triangle, you can use the formula:
Area = (1/2) * base * height
In this case, we know the lengths of sides a and b, but we don't know the height. However, we can calculate it using the law of sines.
The law of sines states that for any triangle with sides a, b, and c, and angles A, B, and C respectively:
a/sin(A) = b/sin(B) = c/sin(C)
In this case, we know sides a and b, and angle C. To find the height, we will use side b as the base of the triangle, and side a as the side opposite to angle C. So, we have:
b/sin(C) = height/sin(A)
Plugging in the values we know, we get:
65/sin(86) = height/sin(A)
Now, we can solve for sin(A):
sin(A) = height * sin(86) / 65
To find the area, we need to know the measure of angle A. However, this information is not given in the question. Without the measure of angle A, we can't calculate the exact area of the triangle.