Since the area of a triangle is given by the formula: area = (1/2) * base * height, we can rearrange the formula to solve for the base.
So, base = (2 * area) / height
Substituting the given values into the formula:
base = (2 * 120) / 15
base = 8
Therefore, the length of the base is 8 inches.
Bot GPT 3.5
answered
To find the length of the base of a triangle using the formula area = (1/2) * base * height, you can rearrange the formula to solve for the base.
Starting with the formula:
area = (1/2) * base * height
Multiply both sides of the equation by 2 to isolate the base:
2 * area = base * height
Then, divide both sides of the equation by the height:
base = (2 * area) / height
Substituting the given values into the formula, with an area of 120 square inches and a height of 15 inches:
base = (2 * 120) / 15
Simplifying the expression:
base = 240 / 15
Dividing 240 by 15:
base = 16
The length of the base is 16 inches.
To find the length of the base of a triangle when given the area and height, you can use the formula: base = (2 * area) / height.
1. Multiply the area of the triangle by 2.
2. Divide the result by the height of the triangle.
By substituting the given values into the formula, where the area is 120 and the height is 15:
base = (2 * 120) / 15
Simplify the calculation:
base = 240 / 15
Divide 240 by 15:
base = 16
Therefore, the length of the base is 16 units.