Final answer:
To find the area of the triangle with angle A = 60°, side b = 62, and side c = 82, use the formula: Area = ½ × b × c × sin(A). The area, when calculated and rounded to two decimal places, is 2629.57 square units.
Step-by-step explanation:
The student is asking about the area of a triangle given angle A and sides b and c. To find the area of this triangle, one would typically use the formula for the area of a triangle when two sides and the included angle are known: Area = ½ × b × c × sin(A). In this case, the given angle A is 60°, side b is 62, and side c is 82.
Applying the formula, we get:
Area = ½ × 62 × 82 × sin(60°)
Using a calculator, sin(60°) is approximately 0.866. Now calculate the area:
Area = 0.5 × 62 × 82 × 0.866 ≈ 2629.572
Rounding to two decimal places, the area is 2629.57 square units.