# Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

1 answer

###### Question:

Analyze the diagram below and complete the instructions that follow.

Find a, b, and c.

Find a, b, and c.

## Answers

Answer:Step-by-step explanation:for side atake 60 degree as reference angleusing tan ruletan 60 =opposite /adjacent[tex]\sqrt{3}[/tex] = a/6do cross multiplication6*[tex]\sqrt{3}[/tex] =a*1[tex]6\sqrt{3} = a[/tex]for busing pythagoras theorema^2 + b^2 =c^2 (here a nd b are the legs of a right triangle and c is hypotenuse)6^2 + [tex](6\sqrt{3})^2 = b^2[/tex]36 + 6*6*3 = b^236 + 108 = b^2144 = b^2[tex]\sqrt{144}[/tex] = b14 = bfor angle ctake 45 degree as reference angleusing cos rulecos 45 = adjacent/hypotenuse[tex]\frac{1}{\sqrt{2} } = \frac{c}{12}[/tex]do cross multoplication[tex]c*\sqrt{2} = 12*1[/tex][tex]c = \frac{12}{\sqrt{2} } \\\\c = 6\sqrt{2[/tex]

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