Question

Jim is making a pennant in the shape of a triangle for his senior class photo. He wants the base length of the triangle to be 8 inches. The area of the pennant must be at most 36 square inches.(Jim doesn’t want to buy more materials) Write in a quality that describes the possible Heights (in inches) of the triangle.Use h for the height of the triangular pennant.

Answer 1

From the the data and information given in the question, we are asked to write an inequaity that desribes the possible Height (in inches of the triangle.

So, given:

Jim is making a pennant in the shape of a triangle for his senior class photo.

Base of triangle = 8 in

Area of triangle ≤ 36 in²

Let height of the triangle be h

recall that the area of triangle:

Area of triangle = 1/2 * base * height

1/2 * 8 * h ≤ 36

4h ≤ 36

divide both sides by 4

h ≤ 36/4

h ≤ 9 inches.

Therefore, the height of the triangle must be at most or ≤ 9 inches.