题目表达不太清楚.若已知三高,可求.
∵s=a*ha/2=b*hb/2=c*hc/2,
∴a=2s/ha,b=2s/hb,c=2s/hc
则a+b+c=2s/ha+2s/hb+2s/hc
=2s(1/ha+1/hb+1/hc)
∴s=1/2*(a+b+c）/(1/ha+1/hb+1/hc)
即面积=半周长除以各高的倒数和
题目表达不太清楚.若已知三高,可求.
∵s=a*ha/2=b*hb/2=c*hc/2,
∴a=2s/ha,b=2s/hb,c=2s/hc
则a+b+c=2s/ha+2s/hb+2s/hc
=2s(1/ha+1/hb+1/hc)
∴s=1/2*(a+b+c）/(1/ha+1/hb+1/hc)
即面积=半周长除以各高的倒数和