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a fost răspuns

Demonstrati ca intr-un triunghi are loc relatia 1/hA+1/hB+1/hC=1/r.

Răspuns :


[tex]\it \dfrac{1}{h_a} + \dfrac{1}{h_b} + \dfrac{1}{h_c} = \dfrac{a}{2S} + \dfrac{b}{2S} + \dfrac{c}{2S} = \dfrac{a+b+c}{2S} = \dfrac{2p}{2pr} =\dfrac{1}{r}[/tex]




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