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inaltimea triunghiului cu laturile de 6cm,9cm,12cm

Răspuns :

[tex] A_{tr.}= \frac{1}{2}* h_{a} \\ A_{tr.}= \sqrt{p(p-a)(p-b)(p-c)} [/tex]
[tex] A_{tr.}= \sqrt{ \frac{27}{2}( \frac{27}{2}-6)( \frac{27}{2}-9)( \frac{27}{2}-12) } = \\ = \sqrt{ \frac{27}{2}* \frac{15}{2}* \frac{9}{2}* \frac{3}{2} }= \frac{9}{4} \sqrt{15} [/tex]
[tex] \frac{9}{4} \sqrt{15}=3h \\ h= \frac{3}{4} \sqrt{15} [/tex]