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..In triangle ABC,
BD is the height
Therefore by pythagoras theorem,
\begin{gathered}ac^{2} = bc^{2} + ab^{2} \\ ac ^{2} = 12 ^{2} + 5 {}^{2} \\ ac^{2} = 144 + 25 = 169 \\ ac = 13 \end{gathered}
ac
2
=bc
2
+ab
2
ac
2
=12
2
+5
2
ac
2
=144+25=169
ac=13
SINalpha=opposites side / hypotenuse
=BC /AC
=5/13
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