Problem

Given $a=12 \mathrm{~cm}, b=9 \mathrm{~cm}$ and $c=15$, write ratio (in lowest terms) would represent cos A?
(remember to write a ratio as top/bottom)

Answer

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Answer

\(\boxed{\cos A = 0}\)

Steps

Step 1 :\(\cos A = \frac{a^2 + b^2 - c^2}{2ab}\)

Step 2 :\(\cos A = \frac{12^2 + 9^2 - 15^2}{2 \cdot 12 \cdot 9}\)

Step 3 :\(\cos A = \frac{144 + 81 - 225}{216}\)

Step 4 :\(\cos A = \frac{0}{216}\)

Step 5 :\(\boxed{\cos A = 0}\)

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