Given: tan A = 3/4. This implies the opposite side (perpendicular) to angle A is 3k and the adjacent side (base) is 4k for some k. Using Pythagoras theorem: Hypotenuse = 25 = √((3k)² + (4k)²). 25 = √(9k² + 16k²). 25 = √25k². k = 1. Perpendicular = 3k = 3 × 1 = 3 cm. Base = 4k = 4 × 1 = 4 cm. Area of triangle = (1/2) × base × perpendicular = (1/2) × 4 × 3 = 6 cm². Correct Option: a
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