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2014-09-20
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h1+h2+h3=h
设正三角形的边长为a
s△PAB+S△PBC+S△PAC
=1/2*a*h1+1/2*a8h2+1/2*a*h3
=a/2*(h1+h2+h3)=S△ABC
S△ABC=1/2*a*h=ah/2
a/2*(h1+h2+h3)=ah/2
h1+h2+h3=h
设正三角形的边长为a
s△PAB+S△PBC+S△PAC
=1/2*a*h1+1/2*a8h2+1/2*a*h3
=a/2*(h1+h2+h3)=S△ABC
S△ABC=1/2*a*h=ah/2
a/2*(h1+h2+h3)=ah/2
h1+h2+h3=h
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