Final answer:
To determine the length of the base of the triangle with an area of 6 cm² and a height of 3 cm, we rearrange the area formula to solve for the base and find it to be 4 cm.
Step-by-step explanation:
To find the base of the triangle when the area is 6 cm² and the height is 3 cm, we use the formula for the area of a triangle A = ½ × base × height. Since the area (A) is given as 6 cm², and the height is 3 cm, we have:
6 = ½ × base × 3
To solve for the base, we multiply both sides of the equation by 2:
12 = base × 3
Now, we divide both sides by 3 to isolate the base:
base = 12 / 3
base = 4 cm
So the length of the base of the triangle is 4 cm.