cailynpark08
cailynpark08 cailynpark08
  • 17-01-2022
  • Mathematics
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Given: AABC, mZACB=90°,
CD I AB ,mZACD=60°,
BC = 6 cm
Find: CD, Area of AABC

Given AABC mZACB90 CD I AB mZACD60 BC 6 cm Find CD Area of AABC class=

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jdoe0001 jdoe0001
  • 17-01-2022

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]

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