Answer:
A = (1/2) * base * height
1. Start with the formula for finding the area of a triangle: A = (1/2) * base * height.
2. Replace the base variable with the value you have or want to solve for. In this case, we are solving for the height (h), so the formula becomes:
A = (1/2) * base * h
3. To isolate the height (h), divide both sides of the equation by the base:
A / base = (1/2) * h
4. Simplify the equation by multiplying both sides by 2:
2 * (A / base) = h
5. The formula is now solved for the height (h), represented by:
h = 2 * (A / base)
This formula allows you to calculate the height of a triangle when you know its area and base. Simply plug in the values for A and base, and then perform the necessary calculations to find the height (h).
For example, if the area (A) is 30 square units and the base is 6 units, you can substitute these values into the formula:
h = 2 * (30 / 6)
Simplifying the equation gives:
h = 2 * 5
h = 10
Therefore, when the area is 30 square units and the base is 6 units, the height of the triangle is 10 units.
Explanation:
A = (1/2) * base * height
1. Start with the formula for finding the area of a triangle: A = (1/2) * base * height.
2. Replace the base variable with the value you have or want to solve for. In this case, we are solving for the height (h), so the formula becomes:
A = (1/2) * base * h
3. To isolate the height (h), divide both sides of the equation by the base:
A / base = (1/2) * h
4. Simplify the equation by multiplying both sides by 2:
2 * (A / base) = h
5. The formula is now solved for the height (h), represented by:
h = 2 * (A / base)
This formula allows you to calculate the height of a triangle when you know its area and base. Simply plug in the values for A and base, and then perform the necessary calculations to find the height (h).
For example, if the area (A) is 30 square units and the base is 6 units, you can substitute these values into the formula:
h = 2 * (30 / 6)
Simplifying the equation gives:
h = 2 * 5
h = 10
Therefore, when the area is 30 square units and the base is 6 units, the height of the triangle is 10 units.