The sum of the base and height of a triangle is 14 cm. Which of the following equations could be used to find the maximum area of the triangle? A) A = 0.5x^2 - 15x

B) A = -0.5x^2 + 7x

C) A = -x^2 + 10x

D) A = x^2 - 10x

B

Step-by-step explanation:

Let the base of the triangle be b and the height be h.

The sum of the base and height is 14. Thus:

Recall that the area of a triangle is given by:

From the first equation, solve for either variable:

Substitute:

Distribute:

Distribute:

Let b = x. Hence:

Therefore, our answer is B.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80