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Answer :
Final answer:
To find the area of triangle ABC, use the formula Area = (1/2) * b * c * sin(A) where A is the given angle and b and c are the given sides. Convert the angle from degrees to radians if needed and compute the area using the formula.
Explanation:
To find the area of triangle ABC, we can use the formula:
Area = (1/2) * b * c * sin(A)
Given the values:
A = 34.9°
b = 10.2 in
c = 8.8 in
Plugging these values into the formula, we have:
Area = (1/2) * 10.2 * 8.8 * sin(34.9°)
Note: sin function requires angles to be in radians, so we need to convert degrees to radians.
Converting A to radians: A = 34.9 * 3.14159 / 180
Area = (1/2) * 10.2 * 8.8 * sin(34.9 * 3.14159 / 180)
Calculating the area, we get:
Area ≈ 23.7 in2
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