The area of the triangle is 400 square cm.The base is ___ cm.

Answer:
The base is 12.5 cm.
Explanation:
From the diagram, the perpendicular height of the triangle = 32cm
Area = 400 square cm.
[tex]\text{Area of a triangle=}\frac{1}{2}\times Base\times Perpendicular\; Height[/tex]Substitute the given values into the formula:
[tex]\begin{gathered} 400=\frac{1}{2}\times\text{Base}\times32 \\ 16\times\text{Base}=400 \\ \text{Base}=\frac{400}{32} \\ \text{Base}=12.5\operatorname{cm} \end{gathered}[/tex]The base is 12.5 cm.