Question

If the area of a triangle is 5 5/6 feet and the base is 5 feet. What is the height?

Answer 1

`\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh\quad \begin{cases} b=base\\ h=height\\ -----\\ A=5(5)/(6)\\ b=5 \end{cases}\implies 5(5)/(6)=\cfrac{1}{2}(5)h\implies \cfrac{5\cdot 6+5}{6}=\cfrac{5h}{2} \\\\\\ \cfrac{35}{6}=\cfrac{5h}{2}\implies 70=30h\implies \cfrac{70}{30}=h\implies \cfrac{7}{3}=h\implies 2(1)/(3)=h`