Question

The area of the triangle is less than 18 square inches. Find the possible

values of a by writing and solving an inequality.
Area of a triangle = (base height)
a
6 in

Answer 1

Answer: The area of the triangle is given by the formula:

Area = (base * height) / 2

We are told that the area is less than 18 square inches, so we can write the inequality:

(base * height) / 2 < 18

Multiplying both sides by 2, we get:

base * height < 36

To find the possible values of "a", we need to isolate "base" on one side of the inequality. Let's assume that the base is equal to "a". Then we have:

a * height < 36

Dividing both sides by height, we get:

a < 36 / height

Since the height is 6 inches, we can substitute it in the inequality:

a < 36 / 6 = 6

So the possible values of "a" are any value less than 6 inches. That is,

0 < a < 6.

Explanation: