Respuesta :

The area of a triangle (At) is:

[tex]At=\frac{b\cdot h}{2}[/tex]

Where:

b is the base

h is the height.

Given that:

At = 5.88 cm².

h = 2.1 cm.

Substituting the values in the equation:

[tex]5.88=\frac{b\cdot2.1}{2}[/tex]

To isolate b, multiply both sides by 2:

[tex]\begin{gathered} 5.88\cdot2=\frac{b\cdot2.1\cdot2}{2} \\ 11.76=2.1b \\ \frac{11.76}{2.1}=b \\ 5.6=b \end{gathered}[/tex]

Answer: The length of the base is 5.6 cm.