Question

A Triangular shelf has an air area Triangular shelf has an area of 105 in2 with a base of 14 in. Use the equation 105=1/2(14)h to find the height of the shelf

Answer 1

To find the height of the triangular shelf, the area formula is rearranged and solved for height, yielding a height of 15 inches for the shelf.

Step-by-step explanation:

The student needs to find the height of a triangular shelf using the given area of the triangle and the base length. To calculate the height, one can rearrange the formula for the area of a triangle, which is Area = 1/2 × base × height. We are given the area (105 in2) and the base (14 in), so by substituting these values into the formula and solving for height (h), we get:

105 = 1/2 × 14 × h

Multiplying both sides by 2 to eliminate the fraction, we have:

210 = 14h

Now, divide both sides of the equation by 14 to solve for h:

h = 210 / 14 = 15 in

Therefore, the height of the triangular shelf is 15 inches.