This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To determine the area of triangle ABC, we use the values calculated previously: A = 33^ B = 82^ C = 65^ Side a = 22 Side b ≈ 40.0 Side c ≈ 36.6 Step 1: Identify the formula for the area of a triangle. The area of a triangle can be calculated using the formula involving two sides and the included angle: Area = (1)/(2)ac B Step 2: Substitute the known values into the formula. Using a = 22, c ≈ 36.610 (from previous calculation before rounding), and B = 82^: Area = (1)/(2) × 22 × 36.610 × 82^ Step 3: Calculate the area and round to one decimal place. Area = 11 × 36.610 × 82^ Area ≈ 11 × 36.610 × 0.990268 Area ≈ 398.800 Rounding to one decimal place: Area ≈ 398.8 That's 2 down. 3 left today — send the next one.