Question

The base of a triangle is 4 units more than the height. The area of the triangle is 48 square units. If the height is represented by x, which equation could be used to find the measure of the height of the triangle?

a) x(x + 4) = 48
b) 1/2x(x + 4) = 48
c) 1/2x(2x + 4) = 48
d) 1/2x(x - 4) = 48

Answer 1

The correct equation to find the height of the triangle is 1/2x(x + 4) = 48, since the formula for the area of a triangle is 1/2 times the base times the height.

Step-by-step explanation:

The student is asked to find the correct equation to represent the height of a triangle given that the base is 4 units more than the height and the area is 48 square units, with the height represented by x. When dealing with the area of a triangle, the formula is 1/2 × base × height. Given that the base is x + 4 (4 units more than the height), the correct equation that represents the situation is 1/2x(x + 4) = 48. This is because you have to multiply the height by the base, and then take half of that product to get the area of a triangle.