How do u find the widths of a triangle if their areas are less than or eqaul to 1200 in sqaured??
I assume by width, you mean the length of the base. To find that, you also need to know the height of the triangle.
Area = 1/2 base * height
To find the widths of a triangle when the area is less than or equal to 1200 square units, you can use the formula for the area of a triangle. The formula for the area of a triangle is:
Area = (base * height) / 2
Step 1: Set up the equation
Let 'x' be the width of the triangle.
Let 'h' be the height of the triangle.
Area = (x * h) / 2
Step 2: Rearrange the equation
To find the possible widths, we need to express the height 'h' in terms of the width 'x' and the area.
Area = (x * h) / 2
=> h = (2 * Area) / x
Step 3: Substitute the given area
Since the area is less than or equal to 1200 square units, we can substitute this value into the equation:
h = (2 * 1200) / x
=> h = 2400 / x
So, the expression for the height 'h' in terms of the width 'x' is h = 2400 / x.
Step 4: Determine the possible widths
For the area to be less than or equal to 1200 square units, we need to find the values of 'x' that satisfy this condition.
Let's try some values and calculate the corresponding height:
x = 1, h = 2400 / 1 = 2400
x = 2, h = 2400 / 2 = 1200
x = 3, h = 2400 / 3 = 800
...
Continue this process, plugging in different values for 'x', and calculating 'h'. Whenever the area is less than or equal to 1200 square units, record the corresponding width 'x'.