Answer:
4 and 1 / 3 cm
Step-by-step explanation:
Consider the following;
[tex]A = 1 / 2 * Base * Height,\\26 cm^2 = 1 / 2 * ( 12 cm ) * Height[/tex]
Let us say that Height = x. If that is so, through algebra, let us solve for x;
[tex]26 cm^2 = 1 / 2 * ( 12 cm ) * x,\\26 cm^2 = 6 cm * x,\\26 cm^2 / 6 cm = x,\\\\x = 26 cm^2 / 6 cm,\\x = 4 and 1 / 3\\\\Conclusion, Height = 4 and 1 / 3 ( cm )[/tex]
Solution ⇒ 4 and 1 / 3 cm