In triangle ABC, right angled at c, If AB=15cm and BC =12 cm ,find the length of AC
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Answer:
use Pythagoras theorem..
\begin{gathered}{ac}^{2} + {bc}^{2} = {ab}^{2} \\ {9}^{2} + {12}^{2} = {ab}^{2} \\ 81 + 144 \: = {ab}^{2} \\ thus \: ab \: = \: 15 \: cm\end{gathered}
ac
2
+bc
2
=ab
2
9
2
+12
2
=ab
2
81+144=ab
2
thusab=15cm
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