The area of the triangle is 6. Find the angle between sides with lengths 3 and 8.

The area of the triangle is S = 1 / 2absinα; The area of the triangle is 6, side a = 3, b = 8. Find the angle between sides a and b.

Substitute the values into the formula: 6 = 1/2 * 3 * 8 * sinα; 6 = 12sinα; sinα = 1/2 = 0.5. According to the sine table, we find the angle in degrees – 30 degrees.



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