Answer :
Answer:
[tex]3\frac{2}{9} units[/tex]
Step-by-step explanation:
We are given;
Area of a triangle as [tex]5\frac{4}{5}[/tex] square units
The base is [tex]3\frac{3}{5}[/tex] units
We are supposed to determine the height of the triangle;
We know that the area of a triangle is given by the formula;
Area = 0.5 × b × h
Therefore, in this case;
[tex]Area = 0.5*3\frac{3}{5}*h[/tex]
But, Area [tex]=5\frac{4}{5}[/tex]
Therefore;
[tex]5\frac{4}{5}=0.5*3\frac{3}{5}*h[/tex]
[tex]5\frac{4}{5}=1\frac{4}{5}*h[/tex]
Therefore;
[tex]h=5\frac{4}{5}/1\frac{4}{5}[/tex]
[tex]h=3\frac{2}{9}[/tex]
Therefore, the length of the height is [tex]3\frac{2}{9}[/tex] units