Question

Find the area of the triangle shown using the formula a = 12bh, where b is the length of the triangle's base and h is its height. What is the area of the triangle in ft²?

Answer 1

The area of the triangle is 72 square feet.

Step-by-step explanation:

The formula for finding the area of a triangle, A = 0.5 * base * height, can also be expressed as A = bh / 2, where 'b' is the length of the base and 'h' is the height. Given the formula a = 12bh, it seems to have a slight discrepancy. However, assuming that '12' represents 0.5 (the constant factor in the formula for the area of a triangle), we can interpret it as such:
`\(12 = (1)/(2) * 2 * 12 = bh\)` , where the base 'b' is 2 feet and the height 'h' is 12 feet.

Substituting these values into the formula
`\(A = (1)/(2) * b * h\)`, we get
`\(A = (1)/(2) * 2 * 12 = 12\)` square feet. Therefore, the area of the triangle is 12 square feet. It's crucial to recognize that the given formula a = 12bh seems to directly imply the area formula for a triangle; however, the intended representation might be 0.5 * base * height. Therefore, interpreting '12' as the product of the base and height (12 = 2 * 6), using the area formula for a triangle yields an area of 12 square feet.