Question

If the area of a triangle is 5/36 and the height is 1/3 what is the base

Answer 1

`\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=(1)/(3)\\[1em] A=(5)/(36) \end{cases}\implies \cfrac{5}{36}=\cfrac{1}{2}\cdot b\cdot \cfrac{1}{3}\implies \cfrac{5}{36}=\cfrac{b}{6} \\\\\\ 30=36b\implies \cfrac{30}{36}=b\implies \cfrac{5}{6}=b`