Given: AABC, mZACB=90°,
CD I AB ,mZACD=60°,
BC = 6 cm
Find: CD, Area of AABC
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Check the picture below.
so, since we know the height of the triangle and its base is simply a + b, then
[tex]\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=\stackrel{a}{9}+\stackrel{b}{3}\\ \qquad 12\\ h=3\sqrt{3} \end{cases}\implies A=\cfrac{1}{2}(12)(3\sqrt{3})\implies A=18\sqrt{3}[/tex]