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
127.5?
To find the equation that can be used to find the height (h) of the triangle, we can start by using the formula for the area of a triangle:
Area = (1/2) * base * height
Given that the area of the triangle is 126 square inches, we can substitute the values into the formula:
126 = (1/2) * base * height
Now, it is given that the base of the triangle is 3 inches less than twice its height. So, we can express the base in terms of the height, which gives us:
base = 2h - 3
Substituting this expression for the base into the equation for the area, we get:
126 = (1/2) * (2h - 3) * h
Simplifying this equation will allow us to find the value of h.
To find the equation that can be used to find the height of the triangle, we can start by using the formula for the area of a triangle.
The area of a triangle is given by the formula: A = (1/2) * base * height
Let's assign some variables to the given information:
Let h be the height of the triangle.
Let b be the base of the triangle.
From the question, we know that the base of the triangle is 3 inches less than twice its height. So, we can express the base in terms of the height as follows:
b = 2h - 3
We are also given that the area of the triangle is 126 square inches. So, we can write the equation for the area as:
126 = (1/2) * b * h
Substituting the value of b in terms of h, we get:
126 = (1/2) * (2h - 3) * h
Now, we have the equation:
126 = (h/2)(2h - 3)
This equation can be used to find the height, h, of the triangle in inches.
A = bh/2
126 = [2(h - 3) * h] / 2