The base of a triangle is 3 inches less than twice its height If the area of the triangle is 126 square inches what equation can be used to find h the height of the triangle in inches
A. 2h^2-3h+63=0
B.2h^2-3h-63=0
C.2h^2-3h+252=0
D.2h^2-3h-252=0
I think it's D?
h(2h-3)/2 = 126
2h^2 - 3h - 252 = 0
you are correct
To solve this problem, we need to set up an equation based on the given information and then solve for the height of the triangle.
Let's denote the height of the triangle as "h" in inches. According to the given information, the base of the triangle is 3 inches less than twice its height. This implies that the base can be expressed as 2h - 3.
The formula for the area of a triangle is given by A = (1/2) * base * height. In this case, the area of the triangle is given as 126 square inches. So we can write the equation as:
(1/2) * (2h - 3) * h = 126
Simplifying the equation, we get:
(h - 3/2) * h = 126
Expanding and rearranging terms, we have:
2h^2 - 3h - 252 = 0
So the correct equation to find the height of the triangle is option D: 2h^2 - 3h - 252 = 0.