The area of a triangle varies directly with its height. A triangle with an area of 42 in² has a height of 6 inches. %0D%0A%0D%0AWhat is the area of the triangle when the height is 11 inches?

Answer 1

First, we need to determine the constant of variation between the area and the height of the triangle. We can do this by using the given information that a triangle with an area of 42 in² has a height of 6 inches.

Let A be the area of the triangle and H be the height. Then, we have:

A = kH

42 = k * 6

k = 7

Now that we have the constant of variation, we can calculate the area of the triangle when the height is 11 inches:

A = 7 * 11

A = 77

Therefore, the area of the triangle when the height is 11 inches is 77 in².