The triangle above has side lengths of 24 mm and 38 mm. Which set of dimensions would produce a similar figure?
To determine the set of dimensions that would produce a similar figure, we need to find a set of side lengths that maintains the same ratio as the given triangle.
Let's denote the corresponding sides of the similar figure as "x" and "y". We can set up the ratio of the given sides to the unknown sides as follows:
24 mm / x = 38 mm / y
To find the value of "x" and "y," we can cross-multiply and solve for them:
24y = 38x
Divide both sides of the equation by 38 to isolate "x":
(24y) / 38 = x
Now we have an expression for "x" in terms of "y." We can choose any value for "y" to get corresponding values for "x," as long as they maintain the same ratio as the original triangle.
For example, let's choose "y" = 57 mm. Plugging this into the equation, we can solve for "x":
x = (24 * 57) / 38 = 36 mm
So, a set of dimensions that would produce a similar figure is 36 mm and 57 mm.