Final Answer:
The value of x is 12 cm (option c).
Step-by-step explanation:
The formula for the area of a triangle is A = (1/2) * base * height. In this case, the area of the triangle is given as 54 cm². Let's assume 'x' represents the height of the triangle. Using the formula, we get 54 = (1/2) * x * 18. Solving for 'x', we find x = 12 cm. Therefore, the height of the triangle is 12 cm.(option c)
The area of a triangle depends on both its base and height. By rearranging the area formula, we isolate the height and solve for 'x' using the given area and the known base length (18 cm). This calculation allows us to determine the height of the triangle, represented by 'x', which in this case is 12 cm.