The base of a triangle is 4 less than three times the height. The area of the triangle is 38 square cm. A=b × h2
(3 points)
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An expression for the base of the triangle:. Response area
Equation for the area of the triangle: Response area
The first step in solving for h: Response area
An expression for the base of the triangle: 3h - 4
Equation for the area of the triangle: 38 = (3h - 4) * h / 2
The first step in solving for h: Multiply both sides of the equation by 2 and simplify.
An expression for the base of the triangle: Let's represent the base of the triangle as 'b' and the height as 'h'. According to the given information, the base is 4 less than three times the height. This can be written as:
b = 3h - 4
Equation for the area of the triangle: The equation for the area of the triangle is given by the formula A = (1/2) * base * height. Since we are given the area as 38 square cm, we can substitute the values into the equation:
38 = (1/2) * b * h
The first step in solving for h: To solve for the height of the triangle, we can rearrange the equation for the area:
38 = (1/2) * b * h
Multiply both sides of the equation by 2 to eliminate the fraction:
76 = b * h
Now, we can substitute the expression for the base (b = 3h - 4) into the equation:
76 = (3h - 4) * h