Answer :
Final answer:
To find the height of the triangle with an area of 36.2 in² and a base of 9 in, use the area formula A = ½ × base × height, and solve for the height to get 8.04 inches.
Explanation:
To find the height of a triangle given the area and base, you can rearrange the area formula. The formula for the area of a triangle is A = ½ × base × height. To solve for the height when the area (A) is 36.2 in² and the base is 9 in, you would set up the equation as follows:
36.2 = ½ × 9 × height
First, multiply both sides by 2 to eliminate the fraction:
72.4 = 9 × height
Now divide both sides by 9 to solve for the height:
height = 72.4 / 9
height = 8.04 in
Therefore, the height of the triangle is 8.04 inches.
