If the area of a triangle is 24 and the base is 6, what is the height?

If the area of a triangle is 24 and the base is 6, what is the height?

• A. 4
• B. 6
• C. 8
• D. 12

Answer: (C)

To find the height of a triangle when given its area and base, you can use the formula for the area of a triangle, which states that the area is equal to one-half the base multiplied by the height. The formula can be expressed as: Area = (1/2) × base × height. In this scenario, you know the area is 24 and the base is 6. To find the height, you can rearrange the formula to solve for height: height = (2 × Area) / base. Substituting the values into this rearranged formula gives: height = (2 × 24) / 6. height = 48 / 6. height = 8. Therefore, the height of the triangle is 8. This aligns with the available choices and confirms that this is indeed the correct answer.

To find the height of a triangle when given its area and base, you can use the formula for the area of a triangle, which states that the area is equal to one-half the base multiplied by the height. The formula can be expressed as:

Area = (1/2) × base × height.

In this scenario, you know the area is 24 and the base is 6. To find the height, you can rearrange the formula to solve for height:

height = (2 × Area) / base.

Substituting the values into this rearranged formula gives:

height = (2 × 24) / 6.

height = 48 / 6.

height = 8.

Therefore, the height of the triangle is 8. This aligns with the available choices and confirms that this is indeed the correct answer.