Question

A triangle’s height is 6c meters and the base is c – 1 meters. Brian knows that the area of the triangle is 18 square meters and is trying to find the height. Which shows the equation Brian can use and the correct measure of the height of the triangle?

Area of a triangle = 0.5(base)(height)

Answer 1

Thats Right

Explanation:

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Answer 2

18= 0.5 (b)(h)
36=(6c)(c-1)
6c^2-6c-36=0
6(c^2-c-6)=0
6(c-3)(c+2)=0
c= 3 or c=-2 but you cant use the negative because your measurement can not be negative, so c=3.
now plug into the original equation.
base is c-1 3-1=2
height is 6c= 6(3)=18