Final answer:
The area of triangle ABC with sides b = 28 cm, c = 14 cm, and angle A = 30 degrees is calculated using the formula Area = 1/2 * b * c * sin(A), which gives an area of 196 cm².
Step-by-step explanation:
To find the area of triangle ABC with given lengths b = 28 cm and c = 14 cm, and an angle m∠A = 30°, we can use the formula for the area of a triangle when two sides and the included angle are known:
Area = 1/2 * b * c * sin(A)
Here, A is the angle opposite to the side a, and b and c are the lengths of the other two sides of the triangle.
By substituting the given values into the formula, we get:
Area = 1/2 * 28 cm * 14 cm * sin(30°)
The sine of 30° is 0.5, therefore:
Area = 1/2 * 28 cm * 14 cm * 0.5
Area = 196 cm2
The area of ΔABC is 196 cm2.