Answer :
Final answer:
The length of the base of the triangle is calculated using the area formula of a triangle, which results in a base length of 6 cm given an area of 38.4 cm² and a height of 12.8 cm.
Explanation:
To find the length of the base of the triangle given its area and height, you can use the formula for the area of a triangle, which is Area = ½ × base × height.
The area is given as 38.4 cm² and the height as 12.8 cm. By substituting the known values into the formula, we get:
38.4 cm² = ½ × base × 12.8 cm,
which simplifies to:
38.4 cm² = base × 6.4 cm,
and by dividing both sides by 6.4 cm, we find the base:
base = 38.4 cm² ÷ 6.4 cm
= 6 cm
So, the length of the base of the triangle is 6 cm.
